7/1 + 7/4 as a fraction

Learn how to find what is 7/1 plus 7/4 in fraction form just in a few minutes. We have covered the easiest method to write 7/1 + 7/4 as a fraction and decimal.

Summary: 7/1 plus 7/4 = 35/4
Since both fractions have unequal denominators, 7/1 plus 7/4 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 7/1 and fraction 7/4 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 4. 4 is the LCM of 1 and 4. Multiplying the LCM 4 with the numerators and denominators of both fractions (7/1 x 4/4) + (7/4 x 4/4), and simplify further in order to have the common denominator. So the equivalent fraction for 7/1 is 28/4 and for 7/4 is 7/4. By simplifying this fraction addition 28/4 + 7/4, it becomes 35/4.

CALCULATION: 7/1 + 7/4 as a fraction
7/1 + 7/4 = (?)
7/1 + 7/4 = [(7 x 4) + (7 x 1)]/(1 x 4)
= (28 + 7)/4
= 35/4
7/1 + 7/4 = 35/4
7/1 plus 7/4 as a fraction is 35/4.

where
7/1 is a improper fraction as an addend,
7/4 is a improper fraction as an addend,
35/4 is the sum of 7/1 and 7/4.

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7/1 plus 7/4 as a decimal
7/1 + 7/4 = 35/4
35/4 = 8.75
(7/1) + (7/4) as a decimal is 8.75

where
8.75 is the sum of 7/1 and 7/4.

The below workout with step by step calculation shows how to find the equivalent fraction between 7/1 and 7/4 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 7/1 plus 7/4 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(7/1) + (7/4) using LCM Method:
What is 7/1 plus 7/4 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/1
Fraction B: 7/4

What to be found?
(7/1) + (7/4) = ?
Find what's the sum of 7/1 and 7/4.

step 2 Compare the denominators of fractions 7/1 and 7/4 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 7/1 and 7/4 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 7/1 and 7/4:
The LCM of 1 and 4 is 4.

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

step 5 Simplify the expression to have common denominator:
= 28/4 + 7/4

step 6 Take the common values out and rewrite the above expression like the below:
= 1/4 x (28/1 + 7/1)
= 1/4 x (28 + 7)

step 7Simplify the above expression further:
= 1/4 x 35
= 35/4
7/1 + 7/4 = 35/4

Hence,
7/1 plus 7/4 as a fraction is 35/4.

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7/1 + 7/4 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/1
Fraction B: 7/4

What to be found?
(7/1)+(7/4) = ?
Find what's the sum of 7/1 and 7/4.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 4), find the product of numerator of Fraction B and denominator of Fraction A (7 x 1), and find the product of both denominators of Fraction A and Fraction B (1 x 4) and rewrite the equation as like the below:
= (7 x 4) + (7 x 1)/(1 x 4)

step 3 Simplify and rewrite the fraction:
= (28 + 7)/4
7/1 + 7/4 = 35/4

Hence,
7/1 plus 7/4 in fraction is 35/4