5/1 + 5/7 as a fraction

Learn how to find what is 5/1 plus 5/7 in fraction form just in a few minutes. We have covered the easiest method to write 5/1 + 5/7 as a fraction and decimal.

Summary: 5/1 plus 5/7 = 40/7
Since both fractions have unequal denominators, 5/1 plus 5/7 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 5/1 and fraction 5/7 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 7. 7 is the LCM of 1 and 7. Multiplying the LCM 7 with the numerators and denominators of both fractions (5/1 x 7/7) + (5/7 x 7/7), and simplify further in order to have the common denominator. So the equivalent fraction for 5/1 is 35/7 and for 5/7 is 5/7. By simplifying this fraction addition 35/7 + 5/7, it becomes 40/7.

CALCULATION: 5/1 + 5/7 as a fraction
5/1 + 5/7 = (?)
5/1 + 5/7 = [(5 x 7) + (5 x 1)]/(1 x 7)
= (35 + 5)/7
= 40/7
5/1 + 5/7 = 40/7
5/1 plus 5/7 as a fraction is 40/7.

where
5/1 is a improper fraction as an addend,
5/7 is a proper fraction as an addend,
40/7 is the sum of 5/1 and 5/7.

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5/1 plus 5/7 as a decimal
5/1 + 5/7 = 40/7
40/7 = 5.7143
(5/1) + (5/7) as a decimal is 5.7143

where
5.7143 is the sum of 5/1 and 5/7.

The below workout with step by step calculation shows how to find the equivalent fraction between 5/1 and 5/7 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 5/1 plus 5/7 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(5/1) + (5/7) using LCM Method:
What is 5/1 plus 5/7 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/1
Fraction B: 5/7

What to be found?
(5/1) + (5/7) = ?
Find what's the sum of 5/1 and 5/7.

step 2 Compare the denominators of fractions 5/1 and 5/7 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 5/1 and 5/7 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 5/1 and 5/7:
The LCM of 1 and 7 is 7.

step 4 Write the fractions 5/1 and 5/7 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/1 + 5/7
= [(5 x 7)/(1 x 7)] + [(5 x 7)/(7 x 7)]

step 5 Simplify the expression to have common denominator:
= 35/7 + 5/7

step 6 Take the common values out and rewrite the above expression like the below:
= 1/7 x (35/1 + 5/1)
= 1/7 x (35 + 5)

step 7Simplify the above expression further:
= 1/7 x 40
= 40/7
5/1 + 5/7 = 40/7

Hence,
5/1 plus 5/7 as a fraction is 40/7.

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5/1 + 5/7 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/1
Fraction B: 5/7

What to be found?
(5/1)+(5/7) = ?
Find what's the sum of 5/1 and 5/7.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 7), find the product of numerator of Fraction B and denominator of Fraction A (5 x 1), and find the product of both denominators of Fraction A and Fraction B (1 x 7) and rewrite the equation as like the below:
= (5 x 7) + (5 x 1)/(1 x 7)

step 3 Simplify and rewrite the fraction:
= (35 + 5)/7
5/1 + 5/7 = 40/7

Hence,
5/1 plus 5/7 in fraction is 40/7