2/3 + 1/30 as a fraction

Learn how to find what is 2/3 plus 1/30 in fraction form just in a few minutes. We have covered the easiest method to write 2/3 + 1/30 as a fraction and decimal.

Summary: 2/3 plus 1/30 = 7/10
Since both fractions have unequal denominators, 2/3 plus 1/30 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/3 and fraction 1/30 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 30. 30 is the LCM of 3 and 30. Multiplying the LCM 30 with the numerators and denominators of both fractions (2/3 x 30/30) + (1/30 x 30/30), and simplify further in order to have the common denominator. So the equivalent fraction for 2/3 is 20/30 and for 1/30 is 1/30. By simplifying this fraction addition 20/30 + 1/30, it becomes 21/30.

Pie Chart Representation: 2/3 + 1/30 = 7/10

CALCULATION: 2/3 + 1/30 as a fraction
2/3 + 1/30 = (?)
2/3 + 1/30 = [(2 x 30) + (1 x 3)]/(3 x 30)
= (60 + 3)/90
= 63/90
= (9 x 7)/(9 x 10)
= 7/10
2/3 + 1/30 = 7/10
2/3 plus 1/30 as a fraction is 7/10.

where
2/3 is a proper fraction as an addend,
1/30 is a proper fraction as an addend,
7/10 is the sum of 2/3 and 1/30.

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2/3 plus 1/30 as a decimal
2/3 + 1/30 = 7/10
7/10 = 0.7
(2/3) + (1/30) as a decimal is 0.7

where
0.7 is the sum of 2/3 and 1/30.

The below workout with step by step calculation shows how to find the equivalent fraction between 2/3 and 1/30 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/3 plus 1/30 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(2/3) + (1/30) using LCM Method:
What is 2/3 plus 1/30 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/3
Fraction B: 1/30

What to be found?
(2/3) + (1/30) = ?
Find what's the sum of 2/3 and 1/30.

step 2 Compare the denominators of fractions 2/3 and 1/30 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/3 and 1/30 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 2/3 and 1/30:
The LCM of 3 and 30 is 30.

step 4 Write the fractions 2/3 and 1/30 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/3 + 1/30
= [(2 x 30)/(3 x 30)] + [(1 x 30)/(30 x 30)]

step 5 Simplify the expression to have common denominator:
= 20/30 + 1/30

step 6 Take the common values out and rewrite the above expression like the below:
= 1/30 x (20/1 + 1/1)
= 1/30 x (20 + 1)

step 7Simplify the above expression further:
= 1/30 x 21
= 21/30
= 7/10
2/3 + 1/30 = 7/10

Hence,
2/3 plus 1/30 as a fraction is 7/10.

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2/3 + 1/30 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/3
Fraction B: 1/30

What to be found?
(2/3)+(1/30) = ?
Find what's the sum of 2/3 and 1/30.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 30), find the product of numerator of Fraction B and denominator of Fraction A (1 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 30) and rewrite the equation as like the below:
= (2 x 30) + (1 x 3)/(3 x 30)

step 3 Simplify and rewrite the fraction:
= (60 + 3)/90
= 63/90
= 7/10
2/3 + 1/30 = 7/10

Hence,
2/3 plus 1/30 in fraction is 7/10