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 $4 over 6 space minus space 4 over 8$ .

$\frac{8}{14}$
$\frac{1}{6}$
$\frac{4}{7}$
$\frac{3}{7}$

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 by considering the repeated factors only one time with highest exponent.

The correct answer is: $1 over 6$

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: $2 to the power of 1 cross times 3 to the power of 1$
Factors of $8$ are: $2 cubed$
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 the factor $2$ is common in both $6$ and $8$ so we will multiply it only once with the highest exponent
LCM ( $6$ , $8$ ) = $2 cubed cross times 3 to the power of 1$
LCM ( $6$ , $8$ ) = $24$
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 $3$ .
$fraction numerator 4 cross times 4 minus 4 cross times 3 over denominator 24 end fraction equals 4 over 24$
So, the answer of $4 over 6 space minus space 4 over 8$ is $4 over 24$ which can be further simplified by dividing by 4 to both numerator and denominator.
$4 over 24 equals 1 over 6$

Related Questions to study

Brian's team practiced soccer for $2 over 3$ of an hour on Wednesday, and for $5 over 6$ of an hour on Friday. His team practiced _________hours for soccer altogether.

Brian's team practiced soccer for $2 over 3$ of an hour on Wednesday, and for $5 over 6$ of an hour on Friday. His team practiced _________hours for soccer altogether.

MathematicsGrade5

Add $2 over 12 space and space 2 over 4$ .

Add $2 over 12 space and space 2 over 4$ .

MathematicsGrade5

Kevin ate $1 fourth$ of a pie. Michael ate $1 half$ of a pie. Find the amount of pie Kevin ate more than Michael.

Kevin ate $1 fourth$ of a pie. Michael ate $1 half$ of a pie. Find the amount of pie Kevin ate more than Michael.

MathematicsGrade5

parallel

Add $4 over 10 space and space 4 over 5$ .

Add $4 over 10 space and space 4 over 5$ .

MathematicsGrade5

Kevin ran $2 over 3$ mile on Monday, and $1 fifth$ mile on Tuesday. He did run _________miles altogether

Kevin ran $2 over 3$ mile on Monday, and $1 fifth$ mile on Tuesday. He did run _________miles altogether

MathematicsGrade5

Charles ate $2 over 3$ of the plum cake in the morning and $1 half$ of the cream cake in the evening. Find the amount of cake he ate in all.

Charles ate $2 over 3$ of the plum cake in the morning and $1 half$ of the cream cake in the evening. Find the amount of cake he ate in all.

MathematicsGrade5

parallel

Add $5 over 9 space and space 1 half$ .

Add $5 over 9 space and space 1 half$ .

MathematicsGrade5

Michael ate $9 over 10$ of cheese pizzas and $3 over 5$ of pepperoni pizzas. He did eat ________ pizza in all.

Michael ate $9 over 10$ of cheese pizzas and $3 over 5$ of pepperoni pizzas. He did eat ________ pizza in all.

MathematicsGrade5

Add $1 fourth space and space 2 over 8$ .

Add $1 fourth space and space 2 over 8$ .

MathematicsGrade5

parallel

Karen added $5 over 6$ of a can of water to her aquarium. Sarah added $11 over 8$ of a can of water to the aquarium. Sarah adds ___________ water than Karen

Karen added $5 over 6$ of a can of water to her aquarium. Sarah added $11 over 8$ of a can of water to the aquarium. Sarah adds ___________ water than Karen

MathematicsGrade5

Add $1 half space and space 2 over 3$ .

Add $1 half space and space 2 over 3$ .

MathematicsGrade5

Nancy finished $1 third$ of her homework on Monday and $1 fourth$ of her homework on Tuesday. Find the total homework done by Nancy.

Nancy finished $1 third$ of her homework on Monday and $1 fourth$ of her homework on Tuesday. Find the total homework done by Nancy.

MathematicsGrade5

parallel

A recipe needs $3 over 4$ teaspoon black pepper and $1 fourth$ red pepper. ________ more black pepper is needed than red pepper for this recipe.

A recipe needs $3 over 4$ teaspoon black pepper and $1 fourth$ red pepper. ________ more black pepper is needed than red pepper for this recipe.

MathematicsGrade5

Add $4 over 5 space and space 7 over 15$ .

Add $4 over 5 space and space 7 over 15$ .

MathematicsGrade5

Add $6 over 9 space plus space 1 half$ .

Add $6 over 9 space plus space 1 half$ .

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.