What is 7/9 plus 5/16 in fraction?
7/9 plus 5/16 equals to 157/144 in fraction form.
Learn how to find what is 7/9 plus 5/16 in fraction form just in a few minutes. We have covered the easiest method to write 7/9 + 5/16 as a fraction and decimal.
Summary: 7/9 plus 5/16
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 7/9 and 5/16 having identical denominators before starting adding the fractions. Find the LCM of denominators, 144 is the LCM of 9 and 16. Multiply the LCM 144 with all the numerators and denominators of both fractions (7/9 x 144/144) + (5/16 x 144/144) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 157/144.
The below workout with step by step calculation shows how to find the equivalent fraction between 7/9 and 5/16 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 7/9 plus 5/16 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
7/9+5/16 using LCM Method:
What is 7/9 plus 5/16 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/9
Fraction B: 5/16
What to be found?
7/9+5/16 = ?
Find what's the sum of 7/9 and 5/16.
step 2 Compare the denominators of fractions 7/9 and 5/16 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 7/9 and 5/16 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 7/9 and 5/16:
The LCM of 9 and 16 is 144.
step 4 Write the fractions 7/9 and 5/16 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=7/9+5/16
=(7 x 144)/(9 x 144)+(5 x 144)/(16 x 144)
step 5 Simplify the expression to have common denominator:
=112/144+45/144
step 6 Take the common values out and rewrite the above expression like the below:
=1/144 x (112/1+45/1)
=1/144 x (112 + 45)
step 7Simplify the above expression further:
=1/144 x 157
=157/144
7/9+5/16=157/144
Hence,
7/9 plus 5/16 equals to 157/144 in fraction.
7/9+5/16 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/9
Fraction B: 5/16
What to be found?
7/9+5/16 = ?
Find what's the sum of 7/9 and 5/16.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 16), find the product of numerator of Fraction B and denominator of Fraction A (5 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 16) and rewrite the equation as like the below:
= (7 x 16) + (5 x 9)/(9 x 16)
step 3 Simplify and rewrite the fraction:
= (112 + 45)/144
7/9+5/16 = 157/144
Hence,
7/9 plus 5/16 = 157/144