What is 4/3 - 5/14 in fraction?
4/3 - 5/14 equals to 41/42 in fraction form.
Learn how to find what is 4/3 minus 5/14 in fraction form just in a few minutes. We have covered the easiest method to write 4/3 - 5/14 as a fraction and decimal.
Summary: 4/3 minus 5/14 = 41/42
Since both fractions have unequal denominators, 4/3 minus 5/14 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 4/3 and fraction 5/14 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 14. 42 is the LCM of 3 and 14. Multiplying the LCM 42 with the numerators and denominators of both fractions (4/3 x 42/42) - (5/14 x 42/42), and simplify further in order to have the common denominator. So the equivalent fraction for 4/3 is 56/42 and for 5/14 is 15/42. By simplifying this fraction subtraction 56/42 - 15/42, it becomes 41/42.
Pie Chart Representation: 4/3 - 5/14 = 41/42
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 5/14 from 4/3. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 4/3 minus 5/14.
1. LCM method
2. Cross multiplication method.
(4/3) - (5/14) using LCM Method:
What is 4/3 minus 5/14 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/3
Fraction B: 5/14
What to be found?
(4/3) - (5/14) = ?
Find what's the difference between 4/3 and 5/14.
step 2 Compare the denominators of fractions 4/3 and 5/14 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 4/3 and 5/14 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 4/3 and 5/14:
The LCM of 3 and 14 is 42.
step 4 Write the fractions 4/3 and 5/14 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 4/3 - 5/14
= [(4 x 42)/(3 x 42)] - [(5 x 42)/(14 x 42)]
step 5 Simplify the expression to have common denominator:
= 56/42 - 15/42
step 6 Take the common values out and rewrite the above expression like the below:
= 1/42 x (56/1 - 15/1)
= 1/42 x (56 - 15)
step 7Simplify the above expression further:
= 1/42 x 41
= 41/42
4/3 - 5/14 = 41/42
Hence,
4/3 minus 5/14 as a fraction is 41/42.
4/3 - 5/14 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/3
Fraction B: 5/14
What to be found?
(4/3)-(5/14) = ?
Find what's the difference between 4/3 and 5/14.
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 (5 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 14) and rewrite the equation as like the below:
= (4 x 14) - (5 x 3)/(3 x 14)
step 3 Simplify and rewrite the fraction:
= (56 - 15)/42
4/3 - 5/14 = 41/42
Hence,
4/3 minus 5/14 in fraction is 41/42