Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Mathematics

Grade5

Easy

Question

Subtract $3 over 5 space minus space 2 over 7$ .

$\frac{5}{8}$
$\frac{11}{35}$
$\frac{8}{9}$
$\frac{7}{13}$

hint Hint:

In this question we have to subtract 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: $11 over 35$

Step1: First we will write all the prime factors of the denominators
In this question the denominators are $5$ and $7$ .
Factors of $5$ are: $5 to the power of 1$
Factors of $7$ are: $7 to the power of 1$
Step2: For calculating the LCM we will multiply the factors by considering the common factors only one time with the highest exponent.
In this case there is no common factor so we will multiply all
LCM ( $5$ , $7$ ) = $5 to the power of 1 cross times 7 to the power of 1$
LCM ( $5$ , $7$ ) = $35$
Step3: Now what we do is divide the LCM by each denominator and multiply the numerator by quotient and then subtract them
So, $35 over 5 space equals space 7$
and $35 over 7 space equals space 5$
So, we will multiply the numerator of $5$ by $7$ and numerator of $7$ by $5$ .
$fraction numerator 3 cross times 7 minus 2 cross times 5 over denominator 35 end fraction equals 11 over 35$
So, the answer of $3 over 5 space minus space 2 over 7$ is $11 over 35$ .

Related Questions to study

The number that could NOT be a common denominator for these two fractions is?
$2 over 4$ and $3 over 8$ .

The number that could NOT be a common denominator for these two fractions is?
$2 over 4$ and $3 over 8$ .

MathematicsGrade5

Add $1 third space and space 3 over 5$ .

Add $1 third space and space 3 over 5$ .

MathematicsGrade5

Add $2 over 3 space and space 5 over 6$ .

Add $2 over 3 space and space 5 over 6$ .

MathematicsGrade5

parallel

Subtract $3 over 4 minus 1 half$ .

Subtract $3 over 4 minus 1 half$ .

MathematicsGrade5

The number that could be a common denominator for the two fractions $2 over 3$ and $3 over 4$ is ____.

The number that could be a common denominator for the two fractions $2 over 3$ and $3 over 4$ is ____.

MathematicsGrade5

Add $2 over 3 and space 1 fifth$ .

Add $2 over 3 and space 1 fifth$ .

MathematicsGrade5

parallel

Add $2 over 3 and space 1 half$ .

Add $2 over 3 and space 1 half$ .

MathematicsGrade5

The number that could be a common denominator for these two fractions is?
$1 fifth$ and $5 over 6$ ?

The number that could be a common denominator for these two fractions is?
$1 fifth$ and $5 over 6$ ?

MathematicsGrade5

Add $9 over 10 and space 3 over 5$ .

Add $9 over 10 and space 3 over 5$ .

MathematicsGrade5

parallel

Find the least common denominator of $3 over 5$ and $5 over 7$ ?

Find the least common denominator of $3 over 5$ and $5 over 7$ ?

MathematicsGrade5

Add $1 third plus 1 fourth$ .

Add $1 third plus 1 fourth$ .

MathematicsGrade5

The denominator represents ___________?

The denominator represents ___________?

MathematicsGrade5

parallel

Subtract $5 over 6 minus 11 over 8$ .

Subtract $5 over 6 minus 11 over 8$ .

MathematicsGrade5

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

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

MathematicsGrade5

To add and subtract fractions, you must have ______________?

To add and subtract fractions, you must have ______________?

MathematicsGrade5

parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.