What is 1/7 - 2/55 in fraction?
1/7 - 2/55 equals to 41/385 in fraction form.
Learn how to find what is 1/7 minus 2/55 in fraction form just in a few minutes. We have covered the easiest method to write 1/7 - 2/55 as a fraction and decimal.
Summary: 1/7 minus 2/55 = 41/385
Since both fractions have unequal denominators, 1/7 minus 2/55 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 1/7 and fraction 2/55 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 55. 385 is the LCM of 7 and 55. Multiplying the LCM 385 with the numerators and denominators of both fractions (1/7 x 385/385) - (2/55 x 385/385), and simplify further in order to have the common denominator. So the equivalent fraction for 1/7 is 55/385 and for 2/55 is 14/385. By simplifying this fraction subtraction 55/385 - 14/385, it becomes 41/385.
Pie Chart Representation: 1/7 - 2/55 = 41/385
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 2/55 from 1/7. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 1/7 minus 2/55.
1. LCM method
2. Cross multiplication method.
(1/7) - (2/55) using LCM Method:
What is 1/7 minus 2/55 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/7
Fraction B: 2/55
What to be found?
(1/7) - (2/55) = ?
Find what's the difference between 1/7 and 2/55.
step 2 Compare the denominators of fractions 1/7 and 2/55 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/7 and 2/55 are not equal, it is said to be unlike fractions subtraction.
step 3For unlike fractions subtraction, find the LCM (least common multiple) of both denominators of fractions 1/7 and 2/55:
The LCM of 7 and 55 is 385.
step 4 Write the fractions 1/7 and 2/55 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/7 - 2/55
= [(1 x 385)/(7 x 385)] - [(2 x 385)/(55 x 385)]
step 5 Simplify the expression to have common denominator:
= 55/385 - 14/385
step 6 Take the common values out and rewrite the above expression like the below:
= 1/385 x (55/1 - 14/1)
= 1/385 x (55 - 14)
step 7Simplify the above expression further:
= 1/385 x 41
= 41/385
1/7 - 2/55 = 41/385
Hence,
1/7 minus 2/55 as a fraction is 41/385.
1/7 - 2/55 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/7
Fraction B: 2/55
What to be found?
(1/7)-(2/55) = ?
Find what's the difference between 1/7 and 2/55.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 55), find the product of numerator of Fraction B and denominator of Fraction A (2 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 55) and rewrite the equation as like the below:
= (1 x 55) - (2 x 7)/(7 x 55)
step 3 Simplify and rewrite the fraction:
= (55 - 14)/385
1/7 - 2/55 = 41/385
Hence,
1/7 minus 2/55 in fraction is 41/385