What is 12/7 - 17 in fraction?
12/7 - 17 equals to -107/7 in fraction form.
Learn how to find what is 12/7 minus 17 in fraction form just in a few minutes. We have covered the easiest method to write 12/7 - 17 as a fraction and decimal.
Summary: 12/7 minus 17 = -107/7
Since both fractions have unequal denominators, 12/7 minus 17 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 12/7 and fraction 17 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 1. 7 is the LCM of 7 and 1. Multiplying the LCM 7 with the numerators and denominators of both fractions (12/7 x 7/7) - (17 x 7/7), and simplify further in order to have the common denominator. So the equivalent fraction for 12/7 is 12/7 and for 17 is 119/7. By simplifying this fraction subtraction 12/7 - 119/7, it becomes -107/7.
The below workout with step by step calculation shows how to find the difference between fraction and a whole number by subtracting 17 from 12/7. use any one of the following methods to find the equivalent fraction for 12/7 minus 17.
1. LCM method
2. Cross multiplication method.
(12/7) - (17) using LCM Method:
What is 12/7 minus 17 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 12/7
Fraction B: 17/1
What to be found?
(12/7) - (17) = ?
Find what's the difference between 12/7 and 17.
step 2 Compare the denominators of fractions 12/7 and 17 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 12/7 and 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 12/7 and 17:
The LCM of 7 and 1 is 7.
step 4 Write the fractions 12/7 and 17 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 12/7 - 17
= [(12 x 7)/(7 x 7)] - [(17 x 7)/(1 x 7)]
step 5 Simplify the expression to have common denominator:
= 12/7 - 119/7
step 6 Take the common values out and rewrite the above expression like the below:
= 1/7 x (12/1 - 119/1)
= 1/7 x (12 - 119)
step 7Simplify the above expression further:
= 1/7 x -107
= -107/7
12/7 - 17 = -107/7
Hence,
12/7 minus 17 as a fraction is -107/7.
12/7 - 17 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 12/7
Fraction B: 17/1
What to be found?
(12/7)-(17) = ?
Find what's the difference between 12/7 and 17.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (12 x 1), find the product of numerator of Fraction B and denominator of Fraction A (17 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 1) and rewrite the equation as like the below:
= (12 x 1) - (17 x 7)/(7 x 1)
step 3 Simplify and rewrite the fraction:
= (12 - 119)/7
12/7 - 17 = -107/7
Hence,
12/7 minus 17 in fraction is -107/7