4/7 - 5/18 as a fraction

Learn how to find what is 4/7 minus 5/18 in fraction form just in a few minutes. We have covered the easiest method to write 4/7 - 5/18 as a fraction and decimal.

Summary: 4/7 minus 5/18 = 37/126
Since both fractions have unequal denominators, 4/7 minus 5/18 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 4/7 and fraction 5/18 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 (4/7 x 126/126) - (5/18 x 126/126), and simplify further in order to have the common denominator. So the equivalent fraction for 4/7 is 72/126 and for 5/18 is 35/126. By simplifying this fraction subtraction 72/126 - 35/126, it becomes 37/126.

Pie Chart Representation: 4/7 - 5/18 = 37/126

CALCULATION: 4/7 - 5/18 as a fraction
4/7 - 5/18 = (?)
4/7 - 5/18 = [(4 x 18) - (5 x 7)]/(7 x 18)
= (72 - 35)/126
= 37/126
4/7 - 5/18 = 37/126
4/7 minus 5/18 as a fraction is 37/126.

where
4/7 is a proper fraction as a minuend,
5/18 is a proper fraction as a subtrahend,
37/126 is the difference between 4/7 and 5/18.

---

4/7 minus 5/18 as a decimal
4/7 - 5/18 = 37/126
37/126 = 0.2937
(4/7) - (5/18) as a decimal is 0.2937

where
0.2937 is the difference between 4/7 and 5/18.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 5/18 from 4/7. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 4/7 minus 5/18.
1. LCM method
2. Cross multiplication method.

(4/7) - (5/18) using LCM Method:
What is 4/7 minus 5/18 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/7
Fraction B: 5/18

What to be found?
(4/7) - (5/18) = ?
Find what's the difference between 4/7 and 5/18.

step 2 Compare the denominators of fractions 4/7 and 5/18 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 4/7 and 5/18 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 4/7 and 5/18:
The LCM of 7 and 18 is 126.

step 4 Write the fractions 4/7 and 5/18 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 4/7 - 5/18
= [(4 x 126)/(7 x 126)] - [(5 x 126)/(18 x 126)]

step 5 Simplify the expression to have common denominator:
= 72/126 - 35/126

step 6 Take the common values out and rewrite the above expression like the below:
= 1/126 x (72/1 - 35/1)
= 1/126 x (72 - 35)

step 7Simplify the above expression further:
= 1/126 x 37
= 37/126
4/7 - 5/18 = 37/126

Hence,
4/7 minus 5/18 as a fraction is 37/126.

---

4/7 - 5/18 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/7
Fraction B: 5/18

What to be found?
(4/7)-(5/18) = ?
Find what's the difference between 4/7 and 5/18.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (4 x 18), find the product of numerator of Fraction B and denominator of Fraction A (5 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:
= (4 x 18) - (5 x 7)/(7 x 18)

step 3 Simplify and rewrite the fraction:
= (72 - 35)/126
4/7 - 5/18 = 37/126

Hence,
4/7 minus 5/18 in fraction is 37/126