What is 5/7 - 1/18 in fraction?
5/7 - 1/18 equals to 83/126 in fraction form.
Learn how to find what is 5/7 minus 1/18 in fraction form just in a few minutes. We have covered the easiest method to write 5/7 - 1/18 as a fraction and decimal.
Summary: 5/7 minus 1/18 = 83/126
Since both fractions have unequal denominators, 5/7 minus 1/18 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 5/7 and fraction 1/18 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 18. 126 is the LCM of 7 and 18. Multiplying the LCM 126 with the numerators and denominators of both fractions (5/7 x 126/126) - (1/18 x 126/126), and simplify further in order to have the common denominator. So the equivalent fraction for 5/7 is 90/126 and for 1/18 is 7/126. By simplifying this fraction subtraction 90/126 - 7/126, it becomes 83/126.
Pie Chart Representation: 5/7 - 1/18 = 83/126
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 1/18 from 5/7. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 5/7 minus 1/18.
1. LCM method
2. Cross multiplication method.
(5/7) - (1/18) using LCM Method:
What is 5/7 minus 1/18 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/7
Fraction B: 1/18
What to be found?
(5/7) - (1/18) = ?
Find what's the difference between 5/7 and 1/18.
step 2 Compare the denominators of fractions 5/7 and 1/18 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 5/7 and 1/18 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 5/7 and 1/18:
The LCM of 7 and 18 is 126.
step 4 Write the fractions 5/7 and 1/18 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5/7 - 1/18
= [(5 x 126)/(7 x 126)] - [(1 x 126)/(18 x 126)]
step 5 Simplify the expression to have common denominator:
= 90/126 - 7/126
step 6 Take the common values out and rewrite the above expression like the below:
= 1/126 x (90/1 - 7/1)
= 1/126 x (90 - 7)
step 7Simplify the above expression further:
= 1/126 x 83
= 83/126
5/7 - 1/18 = 83/126
Hence,
5/7 minus 1/18 as a fraction is 83/126.
5/7 - 1/18 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/7
Fraction B: 1/18
What to be found?
(5/7)-(1/18) = ?
Find what's the difference between 5/7 and 1/18.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 18), 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 18) and rewrite the equation as like the below:
= (5 x 18) - (1 x 7)/(7 x 18)
step 3 Simplify and rewrite the fraction:
= (90 - 7)/126
5/7 - 1/18 = 83/126
Hence,
5/7 minus 1/18 in fraction is 83/126