What is 16/3 - 15 in fraction?
16/3 - 15 equals to -29/3 in fraction form.
Learn how to find what is 16/3 minus 15 in fraction form just in a few minutes. We have covered the easiest method to write 16/3 - 15 as a fraction and decimal.
Summary: 16/3 minus 15 = -29/3
Since both fractions have unequal denominators, 16/3 minus 15 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 16/3 and fraction 15 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 3 and 1. 3 is the LCM of 3 and 1. Multiplying the LCM 3 with the numerators and denominators of both fractions (16/3 x 3/3) - (15 x 3/3), and simplify further in order to have the common denominator. So the equivalent fraction for 16/3 is 16/3 and for 15 is 45/3. By simplifying this fraction subtraction 16/3 - 45/3, it becomes -29/3.
The below workout with step by step calculation shows how to find the difference between fraction and a whole number by subtracting 15 from 16/3. use any one of the following methods to find the equivalent fraction for 16/3 minus 15.
1. LCM method
2. Cross multiplication method.
(16/3) - (15) using LCM Method:
What is 16/3 minus 15 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/3
Fraction B: 15/1
What to be found?
(16/3) - (15) = ?
Find what's the difference between 16/3 and 15.
step 2 Compare the denominators of fractions 16/3 and 15 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 16/3 and 15 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 15:
The LCM of 3 and 1 is 3.
step 4 Write the fractions 16/3 and 15 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 16/3 - 15
= [(16 x 3)/(3 x 3)] - [(15 x 3)/(1 x 3)]
step 5 Simplify the expression to have common denominator:
= 16/3 - 45/3
step 6 Take the common values out and rewrite the above expression like the below:
= 1/3 x (16/1 - 45/1)
= 1/3 x (16 - 45)
step 7Simplify the above expression further:
= 1/3 x -29
= -29/3
16/3 - 15 = -29/3
Hence,
16/3 minus 15 as a fraction is -29/3.
16/3 - 15 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/3
Fraction B: 15/1
What to be found?
(16/3)-(15) = ?
Find what's the difference between 16/3 and 15.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (16 x 1), find the product of numerator of Fraction B and denominator of Fraction A (15 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 1) and rewrite the equation as like the below:
= (16 x 1) - (15 x 3)/(3 x 1)
step 3 Simplify and rewrite the fraction:
= (16 - 45)/3
16/3 - 15 = -29/3
Hence,
16/3 minus 15 in fraction is -29/3