2/7 + 3/16 in fraction form

Learn how to find what is 2/7 plus 3/16 in fraction form just in a few minutes. We have covered the easiest method to write 2/7 + 3/16 as a fraction and decimal.

Summary: 2/7 plus 3/16
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 2/7 and 3/16 having identical denominators before starting adding the fractions. Find the LCM of denominators, 112 is the LCM of 7 and 16. Multiply the LCM 112 with all the numerators and denominators of both fractions (2/7 x 112/112) + (3/16 x 112/112) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 53/112.

CALCULATION:
2/7+3/16 as a fraction
2/7 + 3/16 = (?)
2/7 + 3/16 = [(2 x 16) + (3 x 7)]/(7 x 16)
= (32 + 21)/112
= 53/112
2/7 + 3/16 = 53/112
2/7 plus 3/16 as a fraction is 53/112.

where
2/7 is a fraction as an addend,
3/16 is a fraction as an addend,
53/112 is the sum of 2/7 and 3/16.

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2/7 plus 3/16 as a decimal
2/7 + 3/16 = 53/112
53/112 = 0.4732
2/7+3/16 as a decimal is 0.4732
where
0.4732 is the sum of 2/7 and 3/16.

The below workout with step by step calculation shows how to find the equivalent fraction between 2/7 and 3/16 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/7 plus 3/16 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

2/7+3/16 using LCM Method:
What is 2/7 plus 3/16 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/7
Fraction B: 3/16

What to be found?
2/7+3/16 = ?
Find what's the sum of 2/7 and 3/16.

step 2 Compare the denominators of fractions 2/7 and 3/16 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/7 and 3/16 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 2/7 and 3/16:
The LCM of 7 and 16 is 112.

step 4 Write the fractions 2/7 and 3/16 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=2/7+3/16
=(2 x 112)/(7 x 112)+(3 x 112)/(16 x 112)

step 5 Simplify the expression to have common denominator:
=32/112+21/112

step 6 Take the common values out and rewrite the above expression like the below:
=1/112 x (32/1+21/1)
=1/112 x (32 + 21)

step 7Simplify the above expression further:
=1/112 x 53
=53/112
2/7+3/16=53/112

Hence,
2/7 plus 3/16 equals to 53/112 in fraction.

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2/7+3/16 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/7
Fraction B: 3/16

What to be found?
2/7+3/16 = ?
Find what's the sum of 2/7 and 3/16.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 16), find the product of numerator of Fraction B and denominator of Fraction A (3 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 16) and rewrite the equation as like the below:
= (2 x 16) + (3 x 7)/(7 x 16)

step 3 Simplify and rewrite the fraction:
= (32 + 21)/112
2/7+3/16 = 53/112
Hence,
2/7 plus 3/16 = 53/112