1/7 + 2/25 as a fraction

Learn how to find what is 1/7 plus 2/25 in fraction form just in a few minutes. We have covered the easiest method to write 1/7 + 2/25 as a fraction and decimal.

Summary: 1/7 plus 2/25 = 39/175
Since both fractions have unequal denominators, 1/7 plus 2/25 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/7 and fraction 2/25 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 25. 175 is the LCM of 7 and 25. Multiplying the LCM 175 with the numerators and denominators of both fractions (1/7 x 175/175) + (2/25 x 175/175), and simplify further in order to have the common denominator. So the equivalent fraction for 1/7 is 25/175 and for 2/25 is 14/175. By simplifying this fraction addition 25/175 + 14/175, it becomes 39/175.

Pie Chart Representation: 1/7 + 2/25 = 39/175

CALCULATION: 1/7 + 2/25 as a fraction
1/7 + 2/25 = (?)
1/7 + 2/25 = [(1 x 25) + (2 x 7)]/(7 x 25)
= (25 + 14)/175
= 39/175
1/7 + 2/25 = 39/175
1/7 plus 2/25 as a fraction is 39/175.

where
1/7 is a proper fraction as an addend,
2/25 is a proper fraction as an addend,
39/175 is the sum of 1/7 and 2/25.

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1/7 plus 2/25 as a decimal
1/7 + 2/25 = 39/175
39/175 = 0.2229
(1/7) + (2/25) as a decimal is 0.2229

where
0.2229 is the sum of 1/7 and 2/25.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/7 and 2/25 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/7 plus 2/25 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/7) + (2/25) using LCM Method:
What is 1/7 plus 2/25 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/7
Fraction B: 2/25

What to be found?
(1/7) + (2/25) = ?
Find what's the sum of 1/7 and 2/25.

step 2 Compare the denominators of fractions 1/7 and 2/25 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/7 and 2/25 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 1/7 and 2/25:
The LCM of 7 and 25 is 175.

step 4 Write the fractions 1/7 and 2/25 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/7 + 2/25
= [(1 x 175)/(7 x 175)] + [(2 x 175)/(25 x 175)]

step 5 Simplify the expression to have common denominator:
= 25/175 + 14/175

step 6 Take the common values out and rewrite the above expression like the below:
= 1/175 x (25/1 + 14/1)
= 1/175 x (25 + 14)

step 7Simplify the above expression further:
= 1/175 x 39
= 39/175
1/7 + 2/25 = 39/175

Hence,
1/7 plus 2/25 as a fraction is 39/175.

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1/7 + 2/25 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/7
Fraction B: 2/25

What to be found?
(1/7)+(2/25) = ?
Find what's the sum of 1/7 and 2/25.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 25), find the product of numerator of Fraction B and denominator of Fraction A (2 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 25) and rewrite the equation as like the below:
= (1 x 25) + (2 x 7)/(7 x 25)

step 3 Simplify and rewrite the fraction:
= (25 + 14)/175
1/7 + 2/25 = 39/175

Hence,
1/7 plus 2/25 in fraction is 39/175