15/1 + 10/17 as a fraction

Learn how to find what is 15/1 plus 10/17 in fraction form just in a few minutes. We have covered the easiest method to write 15/1 + 10/17 as a fraction and decimal.

Summary: 15/1 plus 10/17 = 265/17
Since both fractions have unequal denominators, 15/1 plus 10/17 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 15/1 and fraction 10/17 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 17. 17 is the LCM of 1 and 17. Multiplying the LCM 17 with the numerators and denominators of both fractions (15/1 x 17/17) + (10/17 x 17/17), and simplify further in order to have the common denominator. So the equivalent fraction for 15/1 is 255/17 and for 10/17 is 10/17. By simplifying this fraction addition 255/17 + 10/17, it becomes 265/17.

CALCULATION: 15/1 + 10/17 as a fraction
15/1 + 10/17 = (?)
15/1 + 10/17 = [(15 x 17) + (10 x 1)]/(1 x 17)
= (255 + 10)/17
= 265/17
15/1 + 10/17 = 265/17
15/1 plus 10/17 as a fraction is 265/17.

where
15/1 is a improper fraction as an addend,
10/17 is a proper fraction as an addend,
265/17 is the sum of 15/1 and 10/17.

---

15/1 plus 10/17 as a decimal
15/1 + 10/17 = 265/17
265/17 = 15.5882
(15/1) + (10/17) as a decimal is 15.5882

where
15.5882 is the sum of 15/1 and 10/17.

The below workout with step by step calculation shows how to find the equivalent fraction between 15/1 and 10/17 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 15/1 plus 10/17 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(15/1) + (10/17) using LCM Method:
What is 15/1 plus 10/17 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 15/1
Fraction B: 10/17

What to be found?
(15/1) + (10/17) = ?
Find what's the sum of 15/1 and 10/17.

step 2 Compare the denominators of fractions 15/1 and 10/17 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 15/1 and 10/17 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 15/1 and 10/17:
The LCM of 1 and 17 is 17.

step 4 Write the fractions 15/1 and 10/17 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 15/1 + 10/17
= [(15 x 17)/(1 x 17)] + [(10 x 17)/(17 x 17)]

step 5 Simplify the expression to have common denominator:
= 255/17 + 10/17

step 6 Take the common values out and rewrite the above expression like the below:
= 1/17 x (255/1 + 10/1)
= 1/17 x (255 + 10)

step 7Simplify the above expression further:
= 1/17 x 265
= 265/17
15/1 + 10/17 = 265/17

Hence,
15/1 plus 10/17 as a fraction is 265/17.

---

15/1 + 10/17 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 15/1
Fraction B: 10/17

What to be found?
(15/1)+(10/17) = ?
Find what's the sum of 15/1 and 10/17.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (15 x 17), find the product of numerator of Fraction B and denominator of Fraction A (10 x 1), and find the product of both denominators of Fraction A and Fraction B (1 x 17) and rewrite the equation as like the below:
= (15 x 17) + (10 x 1)/(1 x 17)

step 3 Simplify and rewrite the fraction:
= (255 + 10)/17
15/1 + 10/17 = 265/17

Hence,
15/1 plus 10/17 in fraction is 265/17