7/2 - 3/20 as a fraction

Learn how to find what is 7/2 minus 3/20 in fraction form just in a few minutes. We have covered the easiest method to write 7/2 - 3/20 as a fraction and decimal.

Summary: 7/2 minus 3/20 = 67/20
Since both fractions have unequal denominators, 7/2 minus 3/20 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 7/2 and fraction 3/20 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 20. 20 is the LCM of 2 and 20. Multiplying the LCM 20 with the numerators and denominators of both fractions (7/2 x 20/20) - (3/20 x 20/20), and simplify further in order to have the common denominator. So the equivalent fraction for 7/2 is 70/20 and for 3/20 is 3/20. By simplifying this fraction subtraction 70/20 - 3/20, it becomes 67/20.

CALCULATION: 7/2 - 3/20 as a fraction
7/2 - 3/20 = (?)
7/2 - 3/20 = [(7 x 20) - (3 x 2)]/(2 x 20)
= (140 - 6)/40
= 134/40
= (2 x 67)/(2 x 20)
= 67/20
7/2 - 3/20 = 67/20
7/2 minus 3/20 as a fraction is 67/20.

where
7/2 is a improper fraction as a minuend,
3/20 is a proper fraction as a subtrahend,
67/20 is the difference between 7/2 and 3/20.

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7/2 minus 3/20 as a decimal
7/2 - 3/20 = 67/20
67/20 = 3.35
(7/2) - (3/20) as a decimal is 3.35

where
3.35 is the difference between 7/2 and 3/20.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 3/20 from 7/2. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 7/2 minus 3/20.
1. LCM method
2. Cross multiplication method.

(7/2) - (3/20) using LCM Method:
What is 7/2 minus 3/20 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/2
Fraction B: 3/20

What to be found?
(7/2) - (3/20) = ?
Find what's the difference between 7/2 and 3/20.

step 2 Compare the denominators of fractions 7/2 and 3/20 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 7/2 and 3/20 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 7/2 and 3/20:
The LCM of 2 and 20 is 20.

step 4 Write the fractions 7/2 and 3/20 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 7/2 - 3/20
= [(7 x 20)/(2 x 20)] - [(3 x 20)/(20 x 20)]

step 5 Simplify the expression to have common denominator:
= 70/20 - 3/20

step 6 Take the common values out and rewrite the above expression like the below:
= 1/20 x (70/1 - 3/1)
= 1/20 x (70 - 3)

step 7Simplify the above expression further:
= 1/20 x 67
= 67/20
7/2 - 3/20 = 67/20

Hence,
7/2 minus 3/20 as a fraction is 67/20.

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7/2 - 3/20 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/2
Fraction B: 3/20

What to be found?
(7/2)-(3/20) = ?
Find what's the difference between 7/2 and 3/20.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 20), find the product of numerator of Fraction B and denominator of Fraction A (3 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 20) and rewrite the equation as like the below:
= (7 x 20) - (3 x 2)/(2 x 20)

step 3 Simplify and rewrite the fraction:
= (140 - 6)/40
= 134/40
= 67/20
7/2 - 3/20 = 67/20

Hence,
7/2 minus 3/20 in fraction is 67/20