14/3 - 2/7 as a fraction

Learn how to find what is 14/3 minus 2/7 in fraction form just in a few minutes. We have covered the easiest method to write 14/3 - 2/7 as a fraction and decimal.

Summary: 14/3 minus 2/7 = 92/21
Since both fractions have unequal denominators, 14/3 minus 2/7 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 14/3 and fraction 2/7 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 7. 21 is the LCM of 3 and 7. Multiplying the LCM 21 with the numerators and denominators of both fractions (14/3 x 21/21) - (2/7 x 21/21), and simplify further in order to have the common denominator. So the equivalent fraction for 14/3 is 98/21 and for 2/7 is 6/21. By simplifying this fraction subtraction 98/21 - 6/21, it becomes 92/21.

CALCULATION: 14/3 - 2/7 as a fraction
14/3 - 2/7 = (?)
14/3 - 2/7 = [(14 x 7) - (2 x 3)]/(3 x 7)
= (98 - 6)/21
= 92/21
14/3 - 2/7 = 92/21
14/3 minus 2/7 as a fraction is 92/21.

where
14/3 is a improper fraction as a minuend,
2/7 is a proper fraction as a subtrahend,
92/21 is the difference between 14/3 and 2/7.

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14/3 minus 2/7 as a decimal
14/3 - 2/7 = 92/21
92/21 = 4.381
(14/3) - (2/7) as a decimal is 4.381

where
4.381 is the difference between 14/3 and 2/7.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 2/7 from 14/3. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 14/3 minus 2/7.
1. LCM method
2. Cross multiplication method.

(14/3) - (2/7) using LCM Method:
What is 14/3 minus 2/7 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 14/3
Fraction B: 2/7

What to be found?
(14/3) - (2/7) = ?
Find what's the difference between 14/3 and 2/7.

step 2 Compare the denominators of fractions 14/3 and 2/7 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 14/3 and 2/7 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 14/3 and 2/7:
The LCM of 3 and 7 is 21.

step 4 Write the fractions 14/3 and 2/7 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 14/3 - 2/7
= [(14 x 21)/(3 x 21)] - [(2 x 21)/(7 x 21)]

step 5 Simplify the expression to have common denominator:
= 98/21 - 6/21

step 6 Take the common values out and rewrite the above expression like the below:
= 1/21 x (98/1 - 6/1)
= 1/21 x (98 - 6)

step 7Simplify the above expression further:
= 1/21 x 92
= 92/21
14/3 - 2/7 = 92/21

Hence,
14/3 minus 2/7 as a fraction is 92/21.

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14/3 - 2/7 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 14/3
Fraction B: 2/7

What to be found?
(14/3)-(2/7) = ?
Find what's the difference between 14/3 and 2/7.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (14 x 7), find the product of numerator of Fraction B and denominator of Fraction A (2 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 7) and rewrite the equation as like the below:
= (14 x 7) - (2 x 3)/(3 x 7)

step 3 Simplify and rewrite the fraction:
= (98 - 6)/21
14/3 - 2/7 = 92/21

Hence,
14/3 minus 2/7 in fraction is 92/21