What is 7/5 + 16 in fraction?
7/5 + 16 equals to 87/5 in fraction form.
Learn how to find what is 7/5 plus 16 in fraction form just in a few minutes. We have covered the easiest method to write 7/5 + 16 as a fraction and decimal.
Summary: 7/5 plus 16 = 87/5
Since both fractions have unequal denominators, 7/5 plus 16 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 7/5 and fraction 16 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 1. 5 is the LCM of 5 and 1. Multiplying the LCM 5 with the numerators and denominators of both fractions (7/5 x 5/5) + (16 x 5/5), and simplify further in order to have the common denominator. So the equivalent fraction for 7/5 is 7/5 and for 16 is 80/5. By simplifying this fraction addition 7/5 + 80/5, it becomes 87/5.
The below workout with step by step calculation shows how to find the equivalent fraction between 7/5 and 16 by adding fraction to a whole number . The sum in fraction form for 7/5 plus 16/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
(7/5) + (16) using LCM Method:
What is 7/5 plus 16 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/5
Fraction B: 16/1
What to be found?
(7/5) + (16) = ?
Find what's the sum of 7/5 and 16.
step 2 Compare the denominators of fractions 7/5 and 16 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 7/5 and 16 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 7/5 and 16:
The LCM of 5 and 1 is 5.
step 4 Write the fractions 7/5 and 16 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 7/5 + 16
= [(7 x 5)/(5 x 5)] + [(16 x 5)/(1 x 5)]
step 5 Simplify the expression to have common denominator:
= 7/5 + 80/5
step 6 Take the common values out and rewrite the above expression like the below:
= 1/5 x (7/1 + 80/1)
= 1/5 x (7 + 80)
step 7Simplify the above expression further:
= 1/5 x 87
= 87/5
7/5 + 16 = 87/5
Hence,
7/5 plus 16 as a fraction is 87/5.
7/5 + 16 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/5
Fraction B: 16/1
What to be found?
(7/5)+(16) = ?
Find what's the sum of 7/5 and 16.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 1), find the product of numerator of Fraction B and denominator of Fraction A (16 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 1) and rewrite the equation as like the below:
= (7 x 1) + (16 x 5)/(5 x 1)
step 3 Simplify and rewrite the fraction:
= (7 + 80)/5
7/5 + 16 = 87/5
Hence,
7/5 plus 16 in fraction is 87/5