1/1 + 2/10 as a fraction

Learn how to find what is 1/1 plus 2/10 in fraction form just in a few minutes. We have covered the easiest method to write 1/1 + 2/10 as a fraction and decimal.

Summary: 1/1 plus 2/10 = 6/5
Since both fractions have unequal denominators, 1/1 plus 2/10 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/1 and fraction 2/10 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 10. 10 is the LCM of 1 and 10. Multiplying the LCM 10 with the numerators and denominators of both fractions (1/1 x 10/10) + (2/10 x 10/10), and simplify further in order to have the common denominator. So the equivalent fraction for 1/1 is 10/10 and for 2/10 is 2/10. By simplifying this fraction addition 10/10 + 2/10, it becomes 12/10.

CALCULATION: 1/1 + 2/10 as a fraction
1/1 + 2/10 = (?)
1/1 + 2/10 = [(1 x 10) + (2 x 1)]/(1 x 10)
= (10 + 2)/10
= 12/10
= (2 x 6)/(2 x 5)
= 6/5
1/1 + 2/10 = 6/5
1/1 plus 2/10 as a fraction is 6/5.

where
1/1 is a proper fraction as an addend,
2/10 is a proper fraction as an addend,
6/5 is the sum of 1/1 and 2/10.

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1/1 plus 2/10 as a decimal
1/1 + 2/10 = 6/5
6/5 = 1.2
(1/1) + (2/10) as a decimal is 1.2

where
1.2 is the sum of 1/1 and 2/10.

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

(1/1) + (2/10) using LCM Method:
What is 1/1 plus 2/10 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/1
Fraction B: 2/10

What to be found?
(1/1) + (2/10) = ?
Find what's the sum of 1/1 and 2/10.

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

step 4 Write the fractions 1/1 and 2/10 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/1 + 2/10
= [(1 x 10)/(1 x 10)] + [(2 x 10)/(10 x 10)]

step 5 Simplify the expression to have common denominator:
= 10/10 + 2/10

step 6 Take the common values out and rewrite the above expression like the below:
= 1/10 x (10/1 + 2/1)
= 1/10 x (10 + 2)

step 7Simplify the above expression further:
= 1/10 x 12
= 12/10
= 6/5
1/1 + 2/10 = 6/5

Hence,
1/1 plus 2/10 as a fraction is 6/5.

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1/1 + 2/10 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/1
Fraction B: 2/10

What to be found?
(1/1)+(2/10) = ?
Find what's the sum of 1/1 and 2/10.

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

step 3 Simplify and rewrite the fraction:
= (10 + 2)/10
= 12/10
= 6/5
1/1 + 2/10 = 6/5

Hence,
1/1 plus 2/10 in fraction is 6/5