2/1 + 7/15 as a fraction

Learn how to find what is 2/1 plus 7/15 in fraction form just in a few minutes. We have covered the easiest method to write 2/1 + 7/15 as a fraction and decimal.

Summary: 2/1 plus 7/15 = 37/15
Since both fractions have unequal denominators, 2/1 plus 7/15 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/1 and fraction 7/15 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 15. 15 is the LCM of 1 and 15. Multiplying the LCM 15 with the numerators and denominators of both fractions (2/1 x 15/15) + (7/15 x 15/15), and simplify further in order to have the common denominator. So the equivalent fraction for 2/1 is 30/15 and for 7/15 is 7/15. By simplifying this fraction addition 30/15 + 7/15, it becomes 37/15.

CALCULATION: 2/1 + 7/15 as a fraction
2/1 + 7/15 = (?)
2/1 + 7/15 = [(2 x 15) + (7 x 1)]/(1 x 15)
= (30 + 7)/15
= 37/15
2/1 + 7/15 = 37/15
2/1 plus 7/15 as a fraction is 37/15.

where
2/1 is a improper fraction as an addend,
7/15 is a proper fraction as an addend,
37/15 is the sum of 2/1 and 7/15.

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2/1 plus 7/15 as a decimal
2/1 + 7/15 = 37/15
37/15 = 2.4667
(2/1) + (7/15) as a decimal is 2.4667

where
2.4667 is the sum of 2/1 and 7/15.

The below workout with step by step calculation shows how to find the equivalent fraction between 2/1 and 7/15 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/1 plus 7/15 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(2/1) + (7/15) using LCM Method:
What is 2/1 plus 7/15 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/1
Fraction B: 7/15

What to be found?
(2/1) + (7/15) = ?
Find what's the sum of 2/1 and 7/15.

step 2 Compare the denominators of fractions 2/1 and 7/15 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/1 and 7/15 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 2/1 and 7/15:
The LCM of 1 and 15 is 15.

step 4 Write the fractions 2/1 and 7/15 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/1 + 7/15
= [(2 x 15)/(1 x 15)] + [(7 x 15)/(15 x 15)]

step 5 Simplify the expression to have common denominator:
= 30/15 + 7/15

step 6 Take the common values out and rewrite the above expression like the below:
= 1/15 x (30/1 + 7/1)
= 1/15 x (30 + 7)

step 7Simplify the above expression further:
= 1/15 x 37
= 37/15
2/1 + 7/15 = 37/15

Hence,
2/1 plus 7/15 as a fraction is 37/15.

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2/1 + 7/15 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/1
Fraction B: 7/15

What to be found?
(2/1)+(7/15) = ?
Find what's the sum of 2/1 and 7/15.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 15), 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 15) and rewrite the equation as like the below:
= (2 x 15) + (7 x 1)/(1 x 15)

step 3 Simplify and rewrite the fraction:
= (30 + 7)/15
2/1 + 7/15 = 37/15

Hence,
2/1 plus 7/15 in fraction is 37/15