2/7 + 1/96 as a fraction

Learn how to find what is 2/7 plus 1/96 in fraction form just in a few minutes. We have covered the easiest method to write 2/7 + 1/96 as a fraction and decimal.

Summary: 2/7 plus 1/96 = 199/672
Since both fractions have unequal denominators, 2/7 plus 1/96 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/7 and fraction 1/96 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 96. 672 is the LCM of 7 and 96. Multiplying the LCM 672 with the numerators and denominators of both fractions (2/7 x 672/672) + (1/96 x 672/672), and simplify further in order to have the common denominator. So the equivalent fraction for 2/7 is 192/672 and for 1/96 is 7/672. By simplifying this fraction addition 192/672 + 7/672, it becomes 199/672.

Pie Chart Representation: 2/7 + 1/96 = 199/672

CALCULATION: 2/7 + 1/96 as a fraction
2/7 + 1/96 = (?)
2/7 + 1/96 = [(2 x 96) + (1 x 7)]/(7 x 96)
= (192 + 7)/672
= 199/672
2/7 + 1/96 = 199/672
2/7 plus 1/96 as a fraction is 199/672.

where
2/7 is a proper fraction as an addend,
1/96 is a proper fraction as an addend,
199/672 is the sum of 2/7 and 1/96.

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2/7 plus 1/96 as a decimal
2/7 + 1/96 = 199/672
199/672 = 0.2961
(2/7) + (1/96) as a decimal is 0.2961

where
0.2961 is the sum of 2/7 and 1/96.

The below workout with step by step calculation shows how to find the equivalent fraction between 2/7 and 1/96 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/7 plus 1/96 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(2/7) + (1/96) using LCM Method:
What is 2/7 plus 1/96 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/7
Fraction B: 1/96

What to be found?
(2/7) + (1/96) = ?
Find what's the sum of 2/7 and 1/96.

step 2 Compare the denominators of fractions 2/7 and 1/96 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/7 and 1/96 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 1/96:
The LCM of 7 and 96 is 672.

step 4 Write the fractions 2/7 and 1/96 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/7 + 1/96
= [(2 x 672)/(7 x 672)] + [(1 x 672)/(96 x 672)]

step 5 Simplify the expression to have common denominator:
= 192/672 + 7/672

step 6 Take the common values out and rewrite the above expression like the below:
= 1/672 x (192/1 + 7/1)
= 1/672 x (192 + 7)

step 7Simplify the above expression further:
= 1/672 x 199
= 199/672
2/7 + 1/96 = 199/672

Hence,
2/7 plus 1/96 as a fraction is 199/672.

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2/7 + 1/96 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/7
Fraction B: 1/96

What to be found?
(2/7)+(1/96) = ?
Find what's the sum of 2/7 and 1/96.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 96), find the product of numerator of Fraction B and denominator of Fraction A (1 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 96) and rewrite the equation as like the below:
= (2 x 96) + (1 x 7)/(7 x 96)

step 3 Simplify and rewrite the fraction:
= (192 + 7)/672
2/7 + 1/96 = 199/672

Hence,
2/7 plus 1/96 in fraction is 199/672