What is 16/3 - 3/20 in fraction?
16/3 - 3/20 equals to 311/60 in fraction form.
Learn how to find what is 16/3 minus 3/20 in fraction form just in a few minutes. We have covered the easiest method to write 16/3 - 3/20 as a fraction and decimal.
Summary: 16/3 minus 3/20 = 311/60
Since both fractions have unequal denominators, 16/3 minus 3/20 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 16/3 and fraction 3/20 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 20. 60 is the LCM of 3 and 20. Multiplying the LCM 60 with the numerators and denominators of both fractions (16/3 x 60/60) - (3/20 x 60/60), and simplify further in order to have the common denominator. So the equivalent fraction for 16/3 is 320/60 and for 3/20 is 9/60. By simplifying this fraction subtraction 320/60 - 9/60, it becomes 311/60.
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 16/3. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 16/3 minus 3/20.
1. LCM method
2. Cross multiplication method.
(16/3) - (3/20) using LCM Method:
What is 16/3 minus 3/20 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/3
Fraction B: 3/20
What to be found?
(16/3) - (3/20) = ?
Find what's the difference between 16/3 and 3/20.
step 2 Compare the denominators of fractions 16/3 and 3/20 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 16/3 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 16/3 and 3/20:
The LCM of 3 and 20 is 60.
step 4 Write the fractions 16/3 and 3/20 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 16/3 - 3/20
= [(16 x 60)/(3 x 60)] - [(3 x 60)/(20 x 60)]
step 5 Simplify the expression to have common denominator:
= 320/60 - 9/60
step 6 Take the common values out and rewrite the above expression like the below:
= 1/60 x (320/1 - 9/1)
= 1/60 x (320 - 9)
step 7Simplify the above expression further:
= 1/60 x 311
= 311/60
16/3 - 3/20 = 311/60
Hence,
16/3 minus 3/20 as a fraction is 311/60.
16/3 - 3/20 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/3
Fraction B: 3/20
What to be found?
(16/3)-(3/20) = ?
Find what's the difference between 16/3 and 3/20.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (16 x 20), find the product of numerator of Fraction B and denominator of Fraction A (3 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 20) and rewrite the equation as like the below:
= (16 x 20) - (3 x 3)/(3 x 20)
step 3 Simplify and rewrite the fraction:
= (320 - 9)/60
16/3 - 3/20 = 311/60
Hence,
16/3 minus 3/20 in fraction is 311/60