What is 7/3 - 16 in fraction?
7/3 - 16 equals to -41/3 in fraction form.
Learn how to find what is 7/3 minus 16 in fraction form just in a few minutes. We have covered the easiest method to write 7/3 - 16 as a fraction and decimal.
Summary: 7/3 minus 16 = -41/3
Since both fractions have unequal denominators, 7/3 minus 16 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 7/3 and fraction 16 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 (7/3 x 3/3) - (16 x 3/3), and simplify further in order to have the common denominator. So the equivalent fraction for 7/3 is 7/3 and for 16 is 48/3. By simplifying this fraction subtraction 7/3 - 48/3, it becomes -41/3.
The below workout with step by step calculation shows how to find the difference between fraction and a whole number by subtracting 16 from 7/3. use any one of the following methods to find the equivalent fraction for 7/3 minus 16.
1. LCM method
2. Cross multiplication method.
(7/3) - (16) using LCM Method:
What is 7/3 minus 16 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/3
Fraction B: 16/1
What to be found?
(7/3) - (16) = ?
Find what's the difference between 7/3 and 16.
step 2 Compare the denominators of fractions 7/3 and 16 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 7/3 and 16 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 7/3 and 16:
The LCM of 3 and 1 is 3.
step 4 Write the fractions 7/3 and 16 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 7/3 - 16
= [(7 x 3)/(3 x 3)] - [(16 x 3)/(1 x 3)]
step 5 Simplify the expression to have common denominator:
= 7/3 - 48/3
step 6 Take the common values out and rewrite the above expression like the below:
= 1/3 x (7/1 - 48/1)
= 1/3 x (7 - 48)
step 7Simplify the above expression further:
= 1/3 x -41
= -41/3
7/3 - 16 = -41/3
Hence,
7/3 minus 16 as a fraction is -41/3.
7/3 - 16 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/3
Fraction B: 16/1
What to be found?
(7/3)-(16) = ?
Find what's the difference between 7/3 and 16.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 1), find the product of numerator of Fraction B and denominator of Fraction A (16 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:
= (7 x 1) - (16 x 3)/(3 x 1)
step 3 Simplify and rewrite the fraction:
= (7 - 48)/3
7/3 - 16 = -41/3
Hence,
7/3 minus 16 in fraction is -41/3