2/7 + 1/45 as a fraction

Learn how to find what is 2/7 plus 1/45 in fraction form just in a few minutes. We have covered the easiest method to write 2/7 + 1/45 as a fraction and decimal.

Summary: 2/7 plus 1/45 = 97/315
Since both fractions have unequal denominators, 2/7 plus 1/45 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 2/7 and fraction 1/45 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 45. 315 is the LCM of 7 and 45. Multiplying the LCM 315 with the numerators and denominators of both fractions (2/7 x 315/315) + (1/45 x 315/315), and simplify further in order to have the common denominator. So the equivalent fraction for 2/7 is 90/315 and for 1/45 is 7/315. By simplifying this fraction addition 90/315 + 7/315, it becomes 97/315.

Pie Chart Representation: 2/7 + 1/45 = 97/315

CALCULATION: 2/7 + 1/45 as a fraction
2/7 + 1/45 = (?)
2/7 + 1/45 = [(2 x 45) + (1 x 7)]/(7 x 45)
= (90 + 7)/315
= 97/315
2/7 + 1/45 = 97/315
2/7 plus 1/45 as a fraction is 97/315.

where
2/7 is a proper fraction as an addend,
1/45 is a proper fraction as an addend,
97/315 is the sum of 2/7 and 1/45.

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2/7 plus 1/45 as a decimal
2/7 + 1/45 = 97/315
97/315 = 0.3079
(2/7) + (1/45) as a decimal is 0.3079

where
0.3079 is the sum of 2/7 and 1/45.

The below workout with step by step calculation shows how to find the equivalent fraction between 2/7 and 1/45 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/7 plus 1/45 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(2/7) + (1/45) using LCM Method:
What is 2/7 plus 1/45 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/7
Fraction B: 1/45

What to be found?
(2/7) + (1/45) = ?
Find what's the sum of 2/7 and 1/45.

step 2 Compare the denominators of fractions 2/7 and 1/45 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/7 and 1/45 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 1/45:
The LCM of 7 and 45 is 315.

step 4 Write the fractions 2/7 and 1/45 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/7 + 1/45
= [(2 x 315)/(7 x 315)] + [(1 x 315)/(45 x 315)]

step 5 Simplify the expression to have common denominator:
= 90/315 + 7/315

step 6 Take the common values out and rewrite the above expression like the below:
= 1/315 x (90/1 + 7/1)
= 1/315 x (90 + 7)

step 7Simplify the above expression further:
= 1/315 x 97
= 97/315
2/7 + 1/45 = 97/315

Hence,
2/7 plus 1/45 as a fraction is 97/315.

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2/7 + 1/45 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/7
Fraction B: 1/45

What to be found?
(2/7)+(1/45) = ?
Find what's the sum of 2/7 and 1/45.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 45), 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 45) and rewrite the equation as like the below:
= (2 x 45) + (1 x 7)/(7 x 45)

step 3 Simplify and rewrite the fraction:
= (90 + 7)/315
2/7 + 1/45 = 97/315

Hence,
2/7 plus 1/45 in fraction is 97/315