10/7 + 1/10 as a fraction

Learn how to find what is 10/7 plus 1/10 in fraction form just in a few minutes. We have covered the easiest method to write 10/7 + 1/10 as a fraction and decimal.

Summary: 10/7 plus 1/10 = 107/70
Since both fractions have unequal denominators, 10/7 plus 1/10 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 10/7 and fraction 1/10 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 10. 70 is the LCM of 7 and 10. Multiplying the LCM 70 with the numerators and denominators of both fractions (10/7 x 70/70) + (1/10 x 70/70), and simplify further in order to have the common denominator. So the equivalent fraction for 10/7 is 100/70 and for 1/10 is 7/70. By simplifying this fraction addition 100/70 + 7/70, it becomes 107/70.

CALCULATION: 10/7 + 1/10 as a fraction
10/7 + 1/10 = (?)
10/7 + 1/10 = [(10 x 10) + (1 x 7)]/(7 x 10)
= (100 + 7)/70
= 107/70
10/7 + 1/10 = 107/70
10/7 plus 1/10 as a fraction is 107/70.

where
10/7 is a improper fraction as an addend,
1/10 is a proper fraction as an addend,
107/70 is the sum of 10/7 and 1/10.

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10/7 plus 1/10 as a decimal
10/7 + 1/10 = 107/70
107/70 = 1.5286
(10/7) + (1/10) as a decimal is 1.5286

where
1.5286 is the sum of 10/7 and 1/10.

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

(10/7) + (1/10) using LCM Method:
What is 10/7 plus 1/10 as a fraction?

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

What to be found?
(10/7) + (1/10) = ?
Find what's the sum of 10/7 and 1/10.

step 2 Compare the denominators of fractions 10/7 and 1/10 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 10/7 and 1/10 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 10/7 and 1/10:
The LCM of 7 and 10 is 70.

step 4 Write the fractions 10/7 and 1/10 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 10/7 + 1/10
= [(10 x 70)/(7 x 70)] + [(1 x 70)/(10 x 70)]

step 5 Simplify the expression to have common denominator:
= 100/70 + 7/70

step 6 Take the common values out and rewrite the above expression like the below:
= 1/70 x (100/1 + 7/1)
= 1/70 x (100 + 7)

step 7Simplify the above expression further:
= 1/70 x 107
= 107/70
10/7 + 1/10 = 107/70

Hence,
10/7 plus 1/10 as a fraction is 107/70.

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

What to be found?
(10/7)+(1/10) = ?
Find what's the sum of 10/7 and 1/10.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (10 x 10), find the product of numerator of Fraction B and denominator of Fraction A (1 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 10) and rewrite the equation as like the below:
= (10 x 10) + (1 x 7)/(7 x 10)

step 3 Simplify and rewrite the fraction:
= (100 + 7)/70
10/7 + 1/10 = 107/70

Hence,
10/7 plus 1/10 in fraction is 107/70