7/1 + 9/4 as a fraction

Learn how to find what is 7/1 plus 9/4 in fraction form just in a few minutes. We have covered the easiest method to write 7/1 + 9/4 as a fraction and decimal.

Summary: 7/1 plus 9/4 = 37/4
Since both fractions have unequal denominators, 7/1 plus 9/4 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 7/1 and fraction 9/4 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) + (9/4 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 9/4 is 9/4. By simplifying this fraction addition 28/4 + 9/4, it becomes 37/4.

CALCULATION: 7/1 + 9/4 as a fraction
7/1 + 9/4 = (?)
7/1 + 9/4 = [(7 x 4) + (9 x 1)]/(1 x 4)
= (28 + 9)/4
= 37/4
7/1 + 9/4 = 37/4
7/1 plus 9/4 as a fraction is 37/4.

where
7/1 is a improper fraction as an addend,
9/4 is a improper fraction as an addend,
37/4 is the sum of 7/1 and 9/4.

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7/1 plus 9/4 as a decimal
7/1 + 9/4 = 37/4
37/4 = 9.25
(7/1) + (9/4) as a decimal is 9.25

where
9.25 is the sum of 7/1 and 9/4.

The below workout with step by step calculation shows how to find the equivalent fraction between 7/1 and 9/4 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 7/1 plus 9/4 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(7/1) + (9/4) using LCM Method:
What is 7/1 plus 9/4 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/1
Fraction B: 9/4

What to be found?
(7/1) + (9/4) = ?
Find what's the sum of 7/1 and 9/4.

step 2 Compare the denominators of fractions 7/1 and 9/4 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 7/1 and 9/4 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 9/4:
The LCM of 1 and 4 is 4.

step 4 Write the fractions 7/1 and 9/4 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 7/1 + 9/4
= [(7 x 4)/(1 x 4)] + [(9 x 4)/(4 x 4)]

step 5 Simplify the expression to have common denominator:
= 28/4 + 9/4

step 6 Take the common values out and rewrite the above expression like the below:
= 1/4 x (28/1 + 9/1)
= 1/4 x (28 + 9)

step 7Simplify the above expression further:
= 1/4 x 37
= 37/4
7/1 + 9/4 = 37/4

Hence,
7/1 plus 9/4 as a fraction is 37/4.

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7/1 + 9/4 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/1
Fraction B: 9/4

What to be found?
(7/1)+(9/4) = ?
Find what's the sum of 7/1 and 9/4.

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 (9 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) + (9 x 1)/(1 x 4)

step 3 Simplify and rewrite the fraction:
= (28 + 9)/4
7/1 + 9/4 = 37/4

Hence,
7/1 plus 9/4 in fraction is 37/4