12/7 + 17/10 as a fraction

Learn how to find what is 12/7 plus 17/10 in fraction form just in a few minutes. We have covered the easiest method to write 12/7 + 17/10 as a fraction and decimal.

Summary: 12/7 plus 17/10 = 239/70
Since both fractions have unequal denominators, 12/7 plus 17/10 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 12/7 and fraction 17/10 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 (12/7 x 70/70) + (17/10 x 70/70), and simplify further in order to have the common denominator. So the equivalent fraction for 12/7 is 120/70 and for 17/10 is 119/70. By simplifying this fraction addition 120/70 + 119/70, it becomes 239/70.

CALCULATION: 12/7 + 17/10 as a fraction
12/7 + 17/10 = (?)
12/7 + 17/10 = [(12 x 10) + (17 x 7)]/(7 x 10)
= (120 + 119)/70
= 239/70
12/7 + 17/10 = 239/70
12/7 plus 17/10 as a fraction is 239/70.

where
12/7 is a improper fraction as an addend,
17/10 is a improper fraction as an addend,
239/70 is the sum of 12/7 and 17/10.

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12/7 plus 17/10 as a decimal
12/7 + 17/10 = 239/70
239/70 = 3.4143
(12/7) + (17/10) as a decimal is 3.4143

where
3.4143 is the sum of 12/7 and 17/10.

The below workout with step by step calculation shows how to find the equivalent fraction between 12/7 and 17/10 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 12/7 plus 17/10 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(12/7) + (17/10) using LCM Method:
What is 12/7 plus 17/10 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 12/7
Fraction B: 17/10

What to be found?
(12/7) + (17/10) = ?
Find what's the sum of 12/7 and 17/10.

step 2 Compare the denominators of fractions 12/7 and 17/10 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 12/7 and 17/10 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 12/7 and 17/10:
The LCM of 7 and 10 is 70.

step 4 Write the fractions 12/7 and 17/10 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 12/7 + 17/10
= [(12 x 70)/(7 x 70)] + [(17 x 70)/(10 x 70)]

step 5 Simplify the expression to have common denominator:
= 120/70 + 119/70

step 6 Take the common values out and rewrite the above expression like the below:
= 1/70 x (120/1 + 119/1)
= 1/70 x (120 + 119)

step 7Simplify the above expression further:
= 1/70 x 239
= 239/70
12/7 + 17/10 = 239/70

Hence,
12/7 plus 17/10 as a fraction is 239/70.

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12/7 + 17/10 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 12/7
Fraction B: 17/10

What to be found?
(12/7)+(17/10) = ?
Find what's the sum of 12/7 and 17/10.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (12 x 10), find the product of numerator of Fraction B and denominator of Fraction A (17 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:
= (12 x 10) + (17 x 7)/(7 x 10)

step 3 Simplify and rewrite the fraction:
= (120 + 119)/70
12/7 + 17/10 = 239/70

Hence,
12/7 plus 17/10 in fraction is 239/70