What is 3/8 + 15 in fraction?
3/8 + 15 equals to 123/8 in fraction form.
Learn how to find what is 3/8 plus 15 in fraction form just in a few minutes. We have covered the easiest method to write 3/8 + 15 as a fraction and decimal.
Summary: 3/8 plus 15 = 123/8
Since both fractions have unequal denominators, 3/8 plus 15 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 3/8 and fraction 15 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 1. 8 is the LCM of 8 and 1. Multiplying the LCM 8 with the numerators and denominators of both fractions (3/8 x 8/8) + (15 x 8/8), and simplify further in order to have the common denominator. So the equivalent fraction for 3/8 is 3/8 and for 15 is 120/8. By simplifying this fraction addition 3/8 + 120/8, it becomes 123/8.
The below workout with step by step calculation shows how to find the equivalent fraction between 3/8 and 15 by adding fraction to a whole number . The sum in fraction form for 3/8 plus 15/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
(3/8) + (15) using LCM Method:
What is 3/8 plus 15 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/8
Fraction B: 15/1
What to be found?
(3/8) + (15) = ?
Find what's the sum of 3/8 and 15.
step 2 Compare the denominators of fractions 3/8 and 15 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 3/8 and 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 3/8 and 15:
The LCM of 8 and 1 is 8.
step 4 Write the fractions 3/8 and 15 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 3/8 + 15
= [(3 x 8)/(8 x 8)] + [(15 x 8)/(1 x 8)]
step 5 Simplify the expression to have common denominator:
= 3/8 + 120/8
step 6 Take the common values out and rewrite the above expression like the below:
= 1/8 x (3/1 + 120/1)
= 1/8 x (3 + 120)
step 7Simplify the above expression further:
= 1/8 x 123
= 123/8
3/8 + 15 = 123/8
Hence,
3/8 plus 15 as a fraction is 123/8.
3/8 + 15 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/8
Fraction B: 15/1
What to be found?
(3/8)+(15) = ?
Find what's the sum of 3/8 and 15.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 1), find the product of numerator of Fraction B and denominator of Fraction A (15 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 1) and rewrite the equation as like the below:
= (3 x 1) + (15 x 8)/(8 x 1)
step 3 Simplify and rewrite the fraction:
= (3 + 120)/8
3/8 + 15 = 123/8
Hence,
3/8 plus 15 in fraction is 123/8