3/7 + 7/17 as a fraction

Learn how to find what is 3/7 plus 7/17 in fraction form just in a few minutes. We have covered the easiest method to write 3/7 + 7/17 as a fraction and decimal.

Summary: 3/7 plus 7/17 = 100/119
Since both fractions have unequal denominators, 3/7 plus 7/17 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 3/7 and fraction 7/17 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 17. 119 is the LCM of 7 and 17. Multiplying the LCM 119 with the numerators and denominators of both fractions (3/7 x 119/119) + (7/17 x 119/119), and simplify further in order to have the common denominator. So the equivalent fraction for 3/7 is 51/119 and for 7/17 is 49/119. By simplifying this fraction addition 51/119 + 49/119, it becomes 100/119.

Pie Chart Representation: 3/7 + 7/17 = 100/119

CALCULATION: 3/7 + 7/17 as a fraction
3/7 + 7/17 = (?)
3/7 + 7/17 = [(3 x 17) + (7 x 7)]/(7 x 17)
= (51 + 49)/119
= 100/119
3/7 + 7/17 = 100/119
3/7 plus 7/17 as a fraction is 100/119.

where
3/7 is a proper fraction as an addend,
7/17 is a proper fraction as an addend,
100/119 is the sum of 3/7 and 7/17.

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3/7 plus 7/17 as a decimal
3/7 + 7/17 = 100/119
100/119 = 0.8403
(3/7) + (7/17) as a decimal is 0.8403

where
0.8403 is the sum of 3/7 and 7/17.

The below workout with step by step calculation shows how to find the equivalent fraction between 3/7 and 7/17 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 3/7 plus 7/17 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(3/7) + (7/17) using LCM Method:
What is 3/7 plus 7/17 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/7
Fraction B: 7/17

What to be found?
(3/7) + (7/17) = ?
Find what's the sum of 3/7 and 7/17.

step 2 Compare the denominators of fractions 3/7 and 7/17 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 3/7 and 7/17 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 3/7 and 7/17:
The LCM of 7 and 17 is 119.

step 4 Write the fractions 3/7 and 7/17 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 3/7 + 7/17
= [(3 x 119)/(7 x 119)] + [(7 x 119)/(17 x 119)]

step 5 Simplify the expression to have common denominator:
= 51/119 + 49/119

step 6 Take the common values out and rewrite the above expression like the below:
= 1/119 x (51/1 + 49/1)
= 1/119 x (51 + 49)

step 7Simplify the above expression further:
= 1/119 x 100
= 100/119
3/7 + 7/17 = 100/119

Hence,
3/7 plus 7/17 as a fraction is 100/119.

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3/7 + 7/17 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/7
Fraction B: 7/17

What to be found?
(3/7)+(7/17) = ?
Find what's the sum of 3/7 and 7/17.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 17), find the product of numerator of Fraction B and denominator of Fraction A (7 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 17) and rewrite the equation as like the below:
= (3 x 17) + (7 x 7)/(7 x 17)

step 3 Simplify and rewrite the fraction:
= (51 + 49)/119
3/7 + 7/17 = 100/119

Hence,
3/7 plus 7/17 in fraction is 100/119