3/4 - 18/7 as a fraction

Learn how to find what is 3/4 minus 18/7 in fraction form just in a few minutes. We have covered the easiest method to write 3/4 - 18/7 as a fraction and decimal.

Summary: 3/4 minus 18/7 = -51/28
Since both fractions have unequal denominators, 3/4 minus 18/7 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 3/4 and fraction 18/7 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 7. 28 is the LCM of 4 and 7. Multiplying the LCM 28 with the numerators and denominators of both fractions (3/4 x 28/28) - (18/7 x 28/28), and simplify further in order to have the common denominator. So the equivalent fraction for 3/4 is 21/28 and for 18/7 is 72/28. By simplifying this fraction subtraction 21/28 - 72/28, it becomes -51/28.

CALCULATION: 3/4 - 18/7 as a fraction
3/4 - 18/7 = (?)
3/4 - 18/7 = [(3 x 7) - (18 x 4)]/(4 x 7)
= (21 - 72)/28
= -51/28
3/4 - 18/7 = -51/28
3/4 minus 18/7 as a fraction is -51/28.

where
3/4 is a proper fraction as a minuend,
18/7 is a improper fraction as a subtrahend,
-51/28 is the difference between 3/4 and 18/7.

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3/4 minus 18/7 as a decimal
3/4 - 18/7 = -51/28
-51/28 = -1.8214
(3/4) - (18/7) as a decimal is -1.8214

where
-1.8214 is the difference between 3/4 and 18/7.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 18/7 from 3/4. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 3/4 minus 18/7.
1. LCM method
2. Cross multiplication method.

(3/4) - (18/7) using LCM Method:
What is 3/4 minus 18/7 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/4
Fraction B: 18/7

What to be found?
(3/4) - (18/7) = ?
Find what's the difference between 3/4 and 18/7.

step 2 Compare the denominators of fractions 3/4 and 18/7 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 3/4 and 18/7 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 3/4 and 18/7:
The LCM of 4 and 7 is 28.

step 4 Write the fractions 3/4 and 18/7 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 3/4 - 18/7
= [(3 x 28)/(4 x 28)] - [(18 x 28)/(7 x 28)]

step 5 Simplify the expression to have common denominator:
= 21/28 - 72/28

step 6 Take the common values out and rewrite the above expression like the below:
= 1/28 x (21/1 - 72/1)
= 1/28 x (21 - 72)

step 7Simplify the above expression further:
= 1/28 x -51
= -51/28
3/4 - 18/7 = -51/28

Hence,
3/4 minus 18/7 as a fraction is -51/28.

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3/4 - 18/7 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/4
Fraction B: 18/7

What to be found?
(3/4)-(18/7) = ?
Find what's the difference between 3/4 and 18/7.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 7), find the product of numerator of Fraction B and denominator of Fraction A (18 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 7) and rewrite the equation as like the below:
= (3 x 7) - (18 x 4)/(4 x 7)

step 3 Simplify and rewrite the fraction:
= (21 - 72)/28
3/4 - 18/7 = -51/28

Hence,
3/4 minus 18/7 in fraction is -51/28