What is 10/3 plus 3/2 in fraction?
10/3 plus 3/2 equals to 29/6 in fraction form.
Learn how to find what is 10/3 plus 3/2 in fraction form just in a few minutes. We have covered the easiest method to write 10/3 + 3/2 as a fraction and decimal.
Summary: 10/3 plus 3/2
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 10/3 and 3/2 having identical denominators before starting adding the fractions. Find the LCM of denominators, 6 is the LCM of 3 and 2. Multiply the LCM 6 with all the numerators and denominators of both fractions (10/3 x 6/6) + (3/2 x 6/6) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 29/6.
The below workout with step by step calculation shows how to find the equivalent fraction between 10/3 and 3/2 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 10/3 plus 3/2 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
10/3+3/2 using LCM Method:
What is 10/3 plus 3/2 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 10/3
Fraction B: 3/2
What to be found?
10/3+3/2 = ?
Find what's the sum of 10/3 and 3/2.
step 2 Compare the denominators of fractions 10/3 and 3/2 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 10/3 and 3/2 are not equal, it is said to be unlike fractions addition.
step 3For unlike fractions addition, find the LCM (least common multiple) of both denominators of fractions 10/3 and 3/2:
The LCM of 3 and 2 is 6.
step 4 Write the fractions 10/3 and 3/2 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=10/3+3/2
=(10 x 6)/(3 x 6)+(3 x 6)/(2 x 6)
step 5 Simplify the expression to have common denominator:
=20/6+9/6
step 6 Take the common values out and rewrite the above expression like the below:
=1/6 x (20/1+9/1)
=1/6 x (20 + 9)
step 7Simplify the above expression further:
=1/6 x 29
=29/6
10/3+3/2=29/6
Hence,
10/3 plus 3/2 equals to 29/6 in fraction.
10/3+3/2 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 10/3
Fraction B: 3/2
What to be found?
10/3+3/2 = ?
Find what's the sum of 10/3 and 3/2.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (10 x 2), find the product of numerator of Fraction B and denominator of Fraction A (3 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 2) and rewrite the equation as like the below:
= (10 x 2) + (3 x 3)/(3 x 2)
step 3 Simplify and rewrite the fraction:
= (20 + 9)/6
10/3+3/2 = 29/6
Hence,
10/3 plus 3/2 = 29/6