Solution for the question - subtract (5)/(6)-(11)/(8) . '/> (5)/(8) '/> (13)/(24) '/> (11)/(24) '/>

Mathematics

Grade5

Easy

Question

Subtract $5 over 6 minus 11 over 8$ .

$\frac{11}{24}$
$\frac{13}{24}$
$\frac{5}{8}$
$\frac{3}{7}$

hint Hint:

In this question we have to add two fractions for that we have to make denominator same this can be done by taking LCM. LCM is the least common multiple of two integers. We will use the prime factorization method to find the LCM. In prime factorization method the simply put the factor of each number and then for LCM we take product of factors, but we consider the repeated factors only one time but with highest exponent.

The correct answer is: $13 over 24$

$11 over 8 space equals space 33 over 24 space space open parentheses Multiply space with space 3 close parentheses 5 over 6 space equals space 20 over 24 space space open parentheses Multiply space with space 4 close parentheses 33 over 24 space minus space 20 over 24 equals 13 over 24$
Step1: First we will write all the prime factors of the denominators
In this question the denominators are $6$ and $8$ .
Factors of $6$ are: $3 cross times 2$ = $3 to the power of 1 space cross times 2 to the power of 1$
Factors of $8$ are: $2 cross times 2 cross times 2$ = $2 cubed$
Step2: For calculating the LCM we will multiply the factors by considering the common factors only one time but with highest exponent
In this case the factor $2$ is common in both $6$ and $8$ so we will multiply it only once with the highest exponent.
LCM( $6 comma 8$ ) = $2 cubed cross times 3 to the power of 1$
LCM( $6 comma 8$ ) = $24$

Step3: Now what we do is divide the LCM by each denominator and multiply the numerator by quotient and then subtract them
So, $24 over 6 equals 4$
and $24 over 8 equals 3$
So, we will multiply the numerator of $6$ by $4$ and numerator of $8$ by $3$ .
$fraction numerator 5 cross times 4 space minus space 11 cross times 3 over denominator 24 end fraction space space equals space fraction numerator negative 13 over denominator 24 end fraction$

So, the subtraction of $5 over 6 space space a n d space 11 over 8$ is $fraction numerator negative 13 over denominator 24 end fraction$ .

Identify the number that could NOT be a common denominator for the two fractions
$1 over 6$ and $1 fourth$ .

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Find the least common denominator for $1 third space plus space 1 half space plus space 1 fourth$ .

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_______ are the numbers which are multiplied together to get another number.

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Find the least common denominator for $3 over 8 space minus space 1 over 12$ .

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Find the least common denominator for $1 fourth space plus space 4 over 6$ .

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Find the least common denominator of $2 over 6$ and $7 over 8$ ?

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Find the least common denominator of $2 over 4$ and $4 over 7$ ?

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Find the least common denominator of $1 over 9$ and $2 over 3$ ?

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Make use of area model to determine the value of 441 ÷ 21.

We know that division is repetitive subtraction. So, we can subtract 21 from 441 again and again till we reach 0.

Make use of area model to determine the value of 441 ÷ 21.

MathematicsGrade5

We know that division is repetitive subtraction. So, we can subtract 21 from 441 again and again till we reach 0.

Grade5

Mathematics

Make use of area model to determine the value of 6248 ÷ 71.

We know that division is repetitive subtraction. So, we can subtract 71 from 6248 again and again till we reach 0.

Make use of area model to determine the value of 6248 ÷ 71.

MathematicsGrade5

We know that division is repetitive subtraction. So, we can subtract 71 from 6248 again and again till we reach 0.

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Subtract $5 over 6 minus 11 over 8$ .

The correct answer is: $13 over 24$

Find the least common denominator of $2 over 6$ and $7 over 8$ ?

Find the least common denominator of $2 over 6$ and $7 over 8$ ?

Subtract $3 over 4 minus 1 fourth$ .

Subtract $3 over 4 minus 1 fourth$ .

Find the LCM for the fractions $1 over 15$ and $1 over 10$ .

Find the LCM for the fractions $1 over 15$ and $1 over 10$ .

Find the LCM for the fractions $1 half$ and $1 third$ .

Find the LCM for the fractions $1 half$ and $1 third$ .

Identify the number that could NOT be a common denominator for the two fractions
$1 over 6$ and $1 fourth$ .

Identify the number that could NOT be a common denominator for the two fractions
$1 over 6$ and $1 fourth$ .

Find the least common denominator for $1 third space plus space 1 half space plus space 1 fourth$ .

Find the least common denominator for $1 third space plus space 1 half space plus space 1 fourth$ .

Find the least common denominator for $3 over 8 space minus space 1 over 12$ .

Find the least common denominator for $3 over 8 space minus space 1 over 12$ .

Find the least common denominator for $1 fourth space plus space 4 over 6$ .

Find the least common denominator for $1 fourth space plus space 4 over 6$ .

Find the least common denominator of $2 over 6$ and $7 over 8$ ?

Find the least common denominator of $2 over 6$ and $7 over 8$ ?

Find the least common denominator of $2 over 4$ and $4 over 7$ ?

Find the least common denominator of $2 over 4$ and $4 over 7$ ?

Find the least common denominator of $1 over 9$ and $2 over 3$ ?

Find the least common denominator of $1 over 9$ and $2 over 3$ ?