1/4 + 2/71 as a fraction

Learn how to find what is 1/4 plus 2/71 in fraction form just in a few minutes. We have covered the easiest method to write 1/4 + 2/71 as a fraction and decimal.

Summary: 1/4 plus 2/71 = 79/284
Since both fractions have unequal denominators, 1/4 plus 2/71 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/4 and fraction 2/71 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 71. 284 is the LCM of 4 and 71. Multiplying the LCM 284 with the numerators and denominators of both fractions (1/4 x 284/284) + (2/71 x 284/284), and simplify further in order to have the common denominator. So the equivalent fraction for 1/4 is 71/284 and for 2/71 is 8/284. By simplifying this fraction addition 71/284 + 8/284, it becomes 79/284.

Pie Chart Representation: 1/4 + 2/71 = 79/284

CALCULATION: 1/4 + 2/71 as a fraction
1/4 + 2/71 = (?)
1/4 + 2/71 = [(1 x 71) + (2 x 4)]/(4 x 71)
= (71 + 8)/284
= 79/284
1/4 + 2/71 = 79/284
1/4 plus 2/71 as a fraction is 79/284.

where
1/4 is a proper fraction as an addend,
2/71 is a proper fraction as an addend,
79/284 is the sum of 1/4 and 2/71.

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1/4 plus 2/71 as a decimal
1/4 + 2/71 = 79/284
79/284 = 0.2782
(1/4) + (2/71) as a decimal is 0.2782

where
0.2782 is the sum of 1/4 and 2/71.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/4 and 2/71 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/4 plus 2/71 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(1/4) + (2/71) using LCM Method:
What is 1/4 plus 2/71 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/4
Fraction B: 2/71

What to be found?
(1/4) + (2/71) = ?
Find what's the sum of 1/4 and 2/71.

step 2 Compare the denominators of fractions 1/4 and 2/71 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/4 and 2/71 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 1/4 and 2/71:
The LCM of 4 and 71 is 284.

step 4 Write the fractions 1/4 and 2/71 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/4 + 2/71
= [(1 x 284)/(4 x 284)] + [(2 x 284)/(71 x 284)]

step 5 Simplify the expression to have common denominator:
= 71/284 + 8/284

step 6 Take the common values out and rewrite the above expression like the below:
= 1/284 x (71/1 + 8/1)
= 1/284 x (71 + 8)

step 7Simplify the above expression further:
= 1/284 x 79
= 79/284
1/4 + 2/71 = 79/284

Hence,
1/4 plus 2/71 as a fraction is 79/284.

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1/4 + 2/71 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/4
Fraction B: 2/71

What to be found?
(1/4)+(2/71) = ?
Find what's the sum of 1/4 and 2/71.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 71), find the product of numerator of Fraction B and denominator of Fraction A (2 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 71) and rewrite the equation as like the below:
= (1 x 71) + (2 x 4)/(4 x 71)

step 3 Simplify and rewrite the fraction:
= (71 + 8)/284
1/4 + 2/71 = 79/284

Hence,
1/4 plus 2/71 in fraction is 79/284