7/6 + 9/10 as a fraction

Learn how to find what is 7/6 plus 9/10 in fraction form just in a few minutes. We have covered the easiest method to write 7/6 + 9/10 as a fraction and decimal.

Summary: 7/6 plus 9/10 = 31/15
Since both fractions have unequal denominators, 7/6 plus 9/10 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 7/6 and fraction 9/10 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 10. 30 is the LCM of 6 and 10. Multiplying the LCM 30 with the numerators and denominators of both fractions (7/6 x 30/30) + (9/10 x 30/30), and simplify further in order to have the common denominator. So the equivalent fraction for 7/6 is 35/30 and for 9/10 is 27/30. By simplifying this fraction addition 35/30 + 27/30, it becomes 62/30.

CALCULATION: 7/6 + 9/10 as a fraction
7/6 + 9/10 = (?)
7/6 + 9/10 = [(7 x 10) + (9 x 6)]/(6 x 10)
= (70 + 54)/60
= 124/60
= (4 x 31)/(4 x 15)
= 31/15
7/6 + 9/10 = 31/15
7/6 plus 9/10 as a fraction is 31/15.

where
7/6 is a improper fraction as an addend,
9/10 is a proper fraction as an addend,
31/15 is the sum of 7/6 and 9/10.

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7/6 plus 9/10 as a decimal
7/6 + 9/10 = 31/15
31/15 = 2.0667
(7/6) + (9/10) as a decimal is 2.0667

where
2.0667 is the sum of 7/6 and 9/10.

The below workout with step by step calculation shows how to find the equivalent fraction between 7/6 and 9/10 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 7/6 plus 9/10 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(7/6) + (9/10) using LCM Method:
What is 7/6 plus 9/10 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/6
Fraction B: 9/10

What to be found?
(7/6) + (9/10) = ?
Find what's the sum of 7/6 and 9/10.

step 2 Compare the denominators of fractions 7/6 and 9/10 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 7/6 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 7/6 and 9/10:
The LCM of 6 and 10 is 30.

step 4 Write the fractions 7/6 and 9/10 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 7/6 + 9/10
= [(7 x 30)/(6 x 30)] + [(9 x 30)/(10 x 30)]

step 5 Simplify the expression to have common denominator:
= 35/30 + 27/30

step 6 Take the common values out and rewrite the above expression like the below:
= 1/30 x (35/1 + 27/1)
= 1/30 x (35 + 27)

step 7Simplify the above expression further:
= 1/30 x 62
= 62/30
= 31/15
7/6 + 9/10 = 31/15

Hence,
7/6 plus 9/10 as a fraction is 31/15.

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7/6 + 9/10 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/6
Fraction B: 9/10

What to be found?
(7/6)+(9/10) = ?
Find what's the sum of 7/6 and 9/10.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 10), find the product of numerator of Fraction B and denominator of Fraction A (9 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 10) and rewrite the equation as like the below:
= (7 x 10) + (9 x 6)/(6 x 10)

step 3 Simplify and rewrite the fraction:
= (70 + 54)/60
= 124/60
= 31/15
7/6 + 9/10 = 31/15

Hence,
7/6 plus 9/10 in fraction is 31/15