What is 16 - 5/17 in fraction?
16 - 5/17 equals to 267/17 in fraction form.
Learn how to find what is 16 minus 5/17 in fraction form just in a few minutes. We have covered the easiest method to write 16 - 5/17 as a fraction and decimal.
Summary: 16 minus 5/17 = 267/17
Since both fractions have unequal denominators, 16 minus 5/17 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 16 and fraction 5/17 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 17. 17 is the LCM of 1 and 17. Multiplying the LCM 17 with the numerators and denominators of both fractions (16 x 17/17) - (5/17 x 17/17), and simplify further in order to have the common denominator. So the equivalent fraction for 16 is 272/17 and for 5/17 is 5/17. By simplifying this fraction subtraction 272/17 - 5/17, it becomes 267/17.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 5/17 from 16. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 16 minus 5/17.
1. LCM method
2. Cross multiplication method.
(16) - (5/17) using LCM Method:
What is 16 minus 5/17 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/1
Fraction B: 5/17
What to be found?
(16) - (5/17) = ?
Find what's the difference between 16 and 5/17.
step 2 Compare the denominators of fractions 16 and 5/17 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 16 and 5/17 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 and 5/17:
The LCM of 1 and 17 is 17.
step 4 Write the fractions 16 and 5/17 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 16 - 5/17
= [(16 x 17)/(1 x 17)] - [(5 x 17)/(17 x 17)]
step 5 Simplify the expression to have common denominator:
= 272/17 - 5/17
step 6 Take the common values out and rewrite the above expression like the below:
= 1/17 x (272/1 - 5/1)
= 1/17 x (272 - 5)
step 7Simplify the above expression further:
= 1/17 x 267
= 267/17
16 - 5/17 = 267/17
Hence,
16 minus 5/17 as a fraction is 267/17.
16 - 5/17 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/1
Fraction B: 5/17
What to be found?
(16)-(5/17) = ?
Find what's the difference between 16 and 5/17.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (16 x 17), find the product of numerator of Fraction B and denominator of Fraction A (5 x 1), and find the product of both denominators of Fraction A and Fraction B (1 x 17) and rewrite the equation as like the below:
= (16 x 17) - (5 x 1)/(1 x 17)
step 3 Simplify and rewrite the fraction:
= (272 - 5)/17
16 - 5/17 = 267/17
Hence,
16 minus 5/17 in fraction is 267/17