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

Add $2 over 3 and space 1 half$ .

$\frac{1}{2}$
$\frac{3}{2}$
$\frac{5}{3}$
$\frac{7}{6}$

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: $7 over 6$

$2 over 3 space equals space 4 over 6 1 half space equals space 3 over 6 4 over 6 space plus space 3 over 6 equals 7 over 6$
Step1: First we will write all the prime factors of the denominators
In this question the denominators are $3$ and $2$ .
Factors of $2$ are: $2 to the power of 1$
Factors of $3$ are: $3 to the power of 1$
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.
LCM ( $3$ , $2$ ) = $2 to the power of 1 cross times 3 to the power of 1$
LCM ( $3$ , $2$ ) = $6$

Step3: Now what we do is divide the LCM by each denominator and multiply the numerator by quotient and then add them
So, $6 over 2 space equals space 3$
and $6 over 3 space equals space 2$
So, we will multiply the numerator of $2$ by $3$ and numerator of $3$ by $2$ .
$fraction numerator 2 cross times 2 plus 1 cross times 3 over denominator 6 end fraction space equals 7 over 6$
So, the sum of $2 over 3$ and $1 half$ is $7 over 6$ .

Related Questions to study

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

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

parallel

Add $1 third plus 1 fourth$ .

Add $1 third plus 1 fourth$ .

MathematicsGrade5

The denominator represents ___________?

The denominator represents ___________?

MathematicsGrade5

Subtract $5 over 6 minus 11 over 8$ .

Subtract $5 over 6 minus 11 over 8$ .

MathematicsGrade5

parallel

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

Subtract $3 over 4 minus 1 fourth$ .

Subtract $3 over 4 minus 1 fourth$ .

MathematicsGrade5

parallel

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

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

MathematicsGrade5

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

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

MathematicsGrade5

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 $1 fourth$ .

MathematicsGrade5

parallel

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

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

MathematicsGrade5

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

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

MathematicsGrade5

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

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

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.