6/5 + 9/10 as a fraction

Learn how to find what is 6/5 plus 9/10 in fraction form just in a few minutes. We have covered the easiest method to write 6/5 + 9/10 as a fraction and decimal.

Summary: 6/5 plus 9/10 = 21/10
Since both fractions have unequal denominators, 6/5 plus 9/10 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 6/5 and fraction 9/10 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 10. 10 is the LCM of 5 and 10. Multiplying the LCM 10 with the numerators and denominators of both fractions (6/5 x 10/10) + (9/10 x 10/10), and simplify further in order to have the common denominator. So the equivalent fraction for 6/5 is 12/10 and for 9/10 is 9/10. By simplifying this fraction addition 12/10 + 9/10, it becomes 21/10.

CALCULATION: 6/5 + 9/10 as a fraction
6/5 + 9/10 = (?)
6/5 + 9/10 = [(6 x 10) + (9 x 5)]/(5 x 10)
= (60 + 45)/50
= 105/50
= (5 x 21)/(5 x 10)
= 21/10
6/5 + 9/10 = 21/10
6/5 plus 9/10 as a fraction is 21/10.

where
6/5 is a improper fraction as an addend,
9/10 is a proper fraction as an addend,
21/10 is the sum of 6/5 and 9/10.

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6/5 plus 9/10 as a decimal
6/5 + 9/10 = 21/10
21/10 = 2.1
(6/5) + (9/10) as a decimal is 2.1

where
2.1 is the sum of 6/5 and 9/10.

The below workout with step by step calculation shows how to find the equivalent fraction between 6/5 and 9/10 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 6/5 plus 9/10 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(6/5) + (9/10) using LCM Method:
What is 6/5 plus 9/10 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 6/5
Fraction B: 9/10

What to be found?
(6/5) + (9/10) = ?
Find what's the sum of 6/5 and 9/10.

step 2 Compare the denominators of fractions 6/5 and 9/10 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 6/5 and 9/10 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 6/5 and 9/10:
The LCM of 5 and 10 is 10.

step 4 Write the fractions 6/5 and 9/10 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 6/5 + 9/10
= [(6 x 10)/(5 x 10)] + [(9 x 10)/(10 x 10)]

step 5 Simplify the expression to have common denominator:
= 12/10 + 9/10

step 6 Take the common values out and rewrite the above expression like the below:
= 1/10 x (12/1 + 9/1)
= 1/10 x (12 + 9)

step 7Simplify the above expression further:
= 1/10 x 21
= 21/10
6/5 + 9/10 = 21/10

Hence,
6/5 plus 9/10 as a fraction is 21/10.

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6/5 + 9/10 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 6/5
Fraction B: 9/10

What to be found?
(6/5)+(9/10) = ?
Find what's the sum of 6/5 and 9/10.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (6 x 10), find the product of numerator of Fraction B and denominator of Fraction A (9 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 10) and rewrite the equation as like the below:
= (6 x 10) + (9 x 5)/(5 x 10)

step 3 Simplify and rewrite the fraction:
= (60 + 45)/50
= 105/50
= 21/10
6/5 + 9/10 = 21/10

Hence,
6/5 plus 9/10 in fraction is 21/10