2/9 + 1/64 as a fraction

Learn how to find what is 2/9 plus 1/64 in fraction form just in a few minutes. We have covered the easiest method to write 2/9 + 1/64 as a fraction and decimal.

Summary: 2/9 plus 1/64 = 137/576
Since both fractions have unequal denominators, 2/9 plus 1/64 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/9 and fraction 1/64 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 64. 576 is the LCM of 9 and 64. Multiplying the LCM 576 with the numerators and denominators of both fractions (2/9 x 576/576) + (1/64 x 576/576), and simplify further in order to have the common denominator. So the equivalent fraction for 2/9 is 128/576 and for 1/64 is 9/576. By simplifying this fraction addition 128/576 + 9/576, it becomes 137/576.

Pie Chart Representation: 2/9 + 1/64 = 137/576

CALCULATION: 2/9 + 1/64 as a fraction
2/9 + 1/64 = (?)
2/9 + 1/64 = [(2 x 64) + (1 x 9)]/(9 x 64)
= (128 + 9)/576
= 137/576
2/9 + 1/64 = 137/576
2/9 plus 1/64 as a fraction is 137/576.

where
2/9 is a proper fraction as an addend,
1/64 is a proper fraction as an addend,
137/576 is the sum of 2/9 and 1/64.

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2/9 plus 1/64 as a decimal
2/9 + 1/64 = 137/576
137/576 = 0.2378
(2/9) + (1/64) as a decimal is 0.2378

where
0.2378 is the sum of 2/9 and 1/64.

The below workout with step by step calculation shows how to find the equivalent fraction between 2/9 and 1/64 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/9 plus 1/64 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(2/9) + (1/64) using LCM Method:
What is 2/9 plus 1/64 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/9
Fraction B: 1/64

What to be found?
(2/9) + (1/64) = ?
Find what's the sum of 2/9 and 1/64.

step 2 Compare the denominators of fractions 2/9 and 1/64 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/9 and 1/64 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 2/9 and 1/64:
The LCM of 9 and 64 is 576.

step 4 Write the fractions 2/9 and 1/64 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/9 + 1/64
= [(2 x 576)/(9 x 576)] + [(1 x 576)/(64 x 576)]

step 5 Simplify the expression to have common denominator:
= 128/576 + 9/576

step 6 Take the common values out and rewrite the above expression like the below:
= 1/576 x (128/1 + 9/1)
= 1/576 x (128 + 9)

step 7Simplify the above expression further:
= 1/576 x 137
= 137/576
2/9 + 1/64 = 137/576

Hence,
2/9 plus 1/64 as a fraction is 137/576.

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2/9 + 1/64 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/9
Fraction B: 1/64

What to be found?
(2/9)+(1/64) = ?
Find what's the sum of 2/9 and 1/64.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 64), find the product of numerator of Fraction B and denominator of Fraction A (1 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 64) and rewrite the equation as like the below:
= (2 x 64) + (1 x 9)/(9 x 64)

step 3 Simplify and rewrite the fraction:
= (128 + 9)/576
2/9 + 1/64 = 137/576

Hence,
2/9 plus 1/64 in fraction is 137/576