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Maths-

General

Easy

Question

Simplify $4 over 7 plus fraction numerator negative 8 over denominator 9 end fraction plus fraction numerator negative 5 over denominator 21 end fraction plus 1 third$

The correct answer is: Find lcm

Complete step by step solution:
Here the numbers are, $4 over 7 comma space fraction numerator negative 8 over denominator 9 end fraction comma space fraction numerator negative 5 over denominator 21 end fraction comma fraction numerator 1 over denominator space 3 end fraction$
On taking lcm of denominators, we have lcm of 3,7,9,21 as 63
$not stretchy rightwards double arrow fraction numerator 4 cross times 9 over denominator 7 cross times 9 end fraction plus fraction numerator negative 8 cross times 7 over denominator 9 cross times 7 end fraction plus fraction numerator negative 5 cross times 3 over denominator 21 cross times 3 end fraction plus fraction numerator 1 cross times 21 over denominator 3 cross times 21 end fraction$
$equals 36 over 63 plus fraction numerator negative 56 over denominator 63 end fraction plus fraction numerator negative 15 over denominator 63 end fraction plus 21 over 63$
$equals fraction numerator 36 minus 56 minus 15 plus 21 over denominator 63 end fraction$
$equals fraction numerator negative 14 over denominator 63 end fraction equals fraction numerator negative 2 over denominator 9 end fraction$

Related Questions to study

The sum of two rational numbers is -8. If one of them is - $13 over 6$ , find the other ?

The sum of two rational numbers is -8. If one of them is - $13 over 6$ , find the other ?

Arrange from greatest to least ?
$fraction numerator negative 10 over denominator 11 end fraction comma fraction numerator 19 over denominator negative 22 end fraction comma fraction numerator negative 23 over denominator 33 end fraction comma fraction numerator negative 39 over denominator 44 end fraction$

Arrange from greatest to least ?
$fraction numerator negative 10 over denominator 11 end fraction comma fraction numerator 19 over denominator negative 22 end fraction comma fraction numerator negative 23 over denominator 33 end fraction comma fraction numerator negative 39 over denominator 44 end fraction$

Arrange from least to greatest : $fraction numerator 3 over denominator negative 5 end fraction comma fraction numerator negative 7 over denominator 10 end fraction comma fraction numerator negative 11 over denominator 15 end fraction comma fraction numerator negative 13 over denominator 20 end fraction$

Arrange from least to greatest : $fraction numerator 3 over denominator negative 5 end fraction comma fraction numerator negative 7 over denominator 10 end fraction comma fraction numerator negative 11 over denominator 15 end fraction comma fraction numerator negative 13 over denominator 20 end fraction$

parallel

An orange crate is in the shape of a rectangular prism . It has a volume of $3 x cubed plus 7 x squared plus 2 x$ cubic units and has a base area of $x squared plus 2 x$ square units. Find the height of the orange crate ?.

An orange crate is in the shape of a rectangular prism . It has a volume of $3 x cubed plus 7 x squared plus 2 x$ cubic units and has a base area of $x squared plus 2 x$ square units. Find the height of the orange crate ?.

Arrange the following rational numbers in descending order: $fraction numerator negative 4 over denominator 9 end fraction comma fraction numerator negative 5 over denominator 12 end fraction comma fraction numerator negative 7 over denominator 18 end fraction comma fraction numerator negative 2 over denominator 3 end fraction$

Arrange the following rational numbers in descending order: $fraction numerator negative 4 over denominator 9 end fraction comma fraction numerator negative 5 over denominator 12 end fraction comma fraction numerator negative 7 over denominator 18 end fraction comma fraction numerator negative 2 over denominator 3 end fraction$

Arrange from least to greatest : $fraction numerator negative 3 over denominator 5 end fraction comma space fraction numerator negative 7 over denominator 10 end fraction comma space fraction numerator negative 5 over denominator 8 end fraction$

Arrange from least to greatest : $fraction numerator negative 3 over denominator 5 end fraction comma space fraction numerator negative 7 over denominator 10 end fraction comma space fraction numerator negative 5 over denominator 8 end fraction$

parallel

The product of two rational numbers is $13 over 5$ . If one of the number is $fraction numerator negative 3 over denominator 4 end fraction$ , find the other rational number ?

The product of two rational numbers is $13 over 5$ . If one of the number is $fraction numerator negative 3 over denominator 4 end fraction$ , find the other rational number ?

Find the Quotient and the domain .
$fraction numerator straight x to the power of 4 plus straight x cubed minus 30 straight x squared over denominator straight x squared minus 3 straight x minus 18 end fraction divided by fraction numerator straight x cubed plus straight x squared minus 30 straight x over denominator straight x squared minus 36 end fraction$

Find the Quotient and the domain .
$fraction numerator straight x to the power of 4 plus straight x cubed minus 30 straight x squared over denominator straight x squared minus 3 straight x minus 18 end fraction divided by fraction numerator straight x cubed plus straight x squared minus 30 straight x over denominator straight x squared minus 36 end fraction$

What is the Quotient of $fraction numerator x squared plus x minus 2 over denominator x plus 3 end fraction straight & fraction numerator x squared plus 3 x minus 4 over denominator 2 x plus 6 end fraction$ .

What is the Quotient of $fraction numerator x squared plus x minus 2 over denominator x plus 3 end fraction straight & fraction numerator x squared plus 3 x minus 4 over denominator 2 x plus 6 end fraction$ .

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The cost of 4.25 m of cloth is 38.25. Find the cost of cloth per meter ?

The cost of 4.25 m of cloth is 38.25. Find the cost of cloth per meter ?

If $5 over 7$ of a number exceeds its $3 over 5$ by 8 , find the number ?

If $5 over 7$ of a number exceeds its $3 over 5$ by 8 , find the number ?

Taylor uses tape to mark a square play area in the basement for her daughter. The area measures 28 sq.ft . Is the side length of the square rational or irrational ? Explain.

Taylor uses tape to mark a square play area in the basement for her daughter. The area measures 28 sq.ft . Is the side length of the square rational or irrational ? Explain.

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The Approximate annual interest rate r of a monthly installment loan is given by the formula:
$r equals fraction numerator fraction numerator 24 left parenthesis n m minus p right parenthesis over denominator n end fraction over denominator open parentheses p plus fraction numerator n m over denominator 12 end fraction close parentheses end fraction$
Where n is the total number of payments , m is the monthly payment and p is the amount financed.
Find the approximate annual interest rate for a five year auto loan of $40,000 that has monthly payments of $750.

The Approximate annual interest rate r of a monthly installment loan is given by the formula:
$r equals fraction numerator fraction numerator 24 left parenthesis n m minus p right parenthesis over denominator n end fraction over denominator open parentheses p plus fraction numerator n m over denominator 12 end fraction close parentheses end fraction$
Where n is the total number of payments , m is the monthly payment and p is the amount financed.
Find the approximate annual interest rate for a five year auto loan of $40,000 that has monthly payments of $750.

Order from least to greatest $29 over 12 comma 2.4444 horizontal ellipsis comma square root of 5.65$

Order from least to greatest $29 over 12 comma 2.4444 horizontal ellipsis comma square root of 5.65$

Find the Quotient and the domain .
$fraction numerator 25 straight x squared minus 4 over denominator straight x squared minus 9 end fraction divided by fraction numerator 5 straight x minus 2 over denominator straight x plus 3 end fraction$

Find the Quotient and the domain .
$fraction numerator 25 straight x squared minus 4 over denominator straight x squared minus 9 end fraction divided by fraction numerator 5 straight x minus 2 over denominator straight x plus 3 end fraction$

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