4/5 - 3/14 as a fraction

Learn how to find what is 4/5 minus 3/14 in fraction form just in a few minutes. We have covered the easiest method to write 4/5 - 3/14 as a fraction and decimal.

Summary: 4/5 minus 3/14 = 41/70
Since both fractions have unequal denominators, 4/5 minus 3/14 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 4/5 and fraction 3/14 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 14. 70 is the LCM of 5 and 14. Multiplying the LCM 70 with the numerators and denominators of both fractions (4/5 x 70/70) - (3/14 x 70/70), and simplify further in order to have the common denominator. So the equivalent fraction for 4/5 is 56/70 and for 3/14 is 15/70. By simplifying this fraction subtraction 56/70 - 15/70, it becomes 41/70.

Pie Chart Representation: 4/5 - 3/14 = 41/70

CALCULATION: 4/5 - 3/14 as a fraction
4/5 - 3/14 = (?)
4/5 - 3/14 = [(4 x 14) - (3 x 5)]/(5 x 14)
= (56 - 15)/70
= 41/70
4/5 - 3/14 = 41/70
4/5 minus 3/14 as a fraction is 41/70.

where
4/5 is a proper fraction as a minuend,
3/14 is a proper fraction as a subtrahend,
41/70 is the difference between 4/5 and 3/14.

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4/5 minus 3/14 as a decimal
4/5 - 3/14 = 41/70
41/70 = 0.5857
(4/5) - (3/14) as a decimal is 0.5857

where
0.5857 is the difference between 4/5 and 3/14.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 3/14 from 4/5. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 4/5 minus 3/14.
1. LCM method
2. Cross multiplication method.

(4/5) - (3/14) using LCM Method:
What is 4/5 minus 3/14 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/5
Fraction B: 3/14

What to be found?
(4/5) - (3/14) = ?
Find what's the difference between 4/5 and 3/14.

step 2 Compare the denominators of fractions 4/5 and 3/14 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 4/5 and 3/14 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 4/5 and 3/14:
The LCM of 5 and 14 is 70.

step 4 Write the fractions 4/5 and 3/14 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 4/5 - 3/14
= [(4 x 70)/(5 x 70)] - [(3 x 70)/(14 x 70)]

step 5 Simplify the expression to have common denominator:
= 56/70 - 15/70

step 6 Take the common values out and rewrite the above expression like the below:
= 1/70 x (56/1 - 15/1)
= 1/70 x (56 - 15)

step 7Simplify the above expression further:
= 1/70 x 41
= 41/70
4/5 - 3/14 = 41/70

Hence,
4/5 minus 3/14 as a fraction is 41/70.

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4/5 - 3/14 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/5
Fraction B: 3/14

What to be found?
(4/5)-(3/14) = ?
Find what's the difference between 4/5 and 3/14.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (4 x 14), find the product of numerator of Fraction B and denominator of Fraction A (3 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 14) and rewrite the equation as like the below:
= (4 x 14) - (3 x 5)/(5 x 14)

step 3 Simplify and rewrite the fraction:
= (56 - 15)/70
4/5 - 3/14 = 41/70

Hence,
4/5 minus 3/14 in fraction is 41/70