16/7 + 16/15 as a fraction

Learn how to find what is 16/7 plus 16/15 in fraction form just in a few minutes. We have covered the easiest method to write 16/7 + 16/15 as a fraction and decimal.

Summary: 16/7 plus 16/15 = 352/105
Since both fractions have unequal denominators, 16/7 plus 16/15 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 16/7 and fraction 16/15 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 15. 105 is the LCM of 7 and 15. Multiplying the LCM 105 with the numerators and denominators of both fractions (16/7 x 105/105) + (16/15 x 105/105), and simplify further in order to have the common denominator. So the equivalent fraction for 16/7 is 240/105 and for 16/15 is 112/105. By simplifying this fraction addition 240/105 + 112/105, it becomes 352/105.

CALCULATION: 16/7 + 16/15 as a fraction
16/7 + 16/15 = (?)
16/7 + 16/15 = [(16 x 15) + (16 x 7)]/(7 x 15)
= (240 + 112)/105
= 352/105
16/7 + 16/15 = 352/105
16/7 plus 16/15 as a fraction is 352/105.

where
16/7 is a improper fraction as an addend,
16/15 is a improper fraction as an addend,
352/105 is the sum of 16/7 and 16/15.

---

16/7 plus 16/15 as a decimal
16/7 + 16/15 = 352/105
352/105 = 3.3524
(16/7) + (16/15) as a decimal is 3.3524

where
3.3524 is the sum of 16/7 and 16/15.

The below workout with step by step calculation shows how to find the equivalent fraction between 16/7 and 16/15 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 16/7 plus 16/15 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(16/7) + (16/15) using LCM Method:
What is 16/7 plus 16/15 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/7
Fraction B: 16/15

What to be found?
(16/7) + (16/15) = ?
Find what's the sum of 16/7 and 16/15.

step 2 Compare the denominators of fractions 16/7 and 16/15 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 16/7 and 16/15 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 16/7 and 16/15:
The LCM of 7 and 15 is 105.

step 4 Write the fractions 16/7 and 16/15 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 16/7 + 16/15
= [(16 x 105)/(7 x 105)] + [(16 x 105)/(15 x 105)]

step 5 Simplify the expression to have common denominator:
= 240/105 + 112/105

step 6 Take the common values out and rewrite the above expression like the below:
= 1/105 x (240/1 + 112/1)
= 1/105 x (240 + 112)

step 7Simplify the above expression further:
= 1/105 x 352
= 352/105
16/7 + 16/15 = 352/105

Hence,
16/7 plus 16/15 as a fraction is 352/105.

---

16/7 + 16/15 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/7
Fraction B: 16/15

What to be found?
(16/7)+(16/15) = ?
Find what's the sum of 16/7 and 16/15.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (16 x 15), find the product of numerator of Fraction B and denominator of Fraction A (16 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 15) and rewrite the equation as like the below:
= (16 x 15) + (16 x 7)/(7 x 15)

step 3 Simplify and rewrite the fraction:
= (240 + 112)/105
16/7 + 16/15 = 352/105

Hence,
16/7 plus 16/15 in fraction is 352/105