What is 7/6 - 17 in fraction?
7/6 - 17 equals to -95/6 in fraction form.
Learn how to find what is 7/6 minus 17 in fraction form just in a few minutes. We have covered the easiest method to write 7/6 - 17 as a fraction and decimal.
Summary: 7/6 minus 17 = -95/6
Since both fractions have unequal denominators, 7/6 minus 17 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 7/6 and fraction 17 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 1. 6 is the LCM of 6 and 1. Multiplying the LCM 6 with the numerators and denominators of both fractions (7/6 x 6/6) - (17 x 6/6), and simplify further in order to have the common denominator. So the equivalent fraction for 7/6 is 7/6 and for 17 is 102/6. By simplifying this fraction subtraction 7/6 - 102/6, it becomes -95/6.
The below workout with step by step calculation shows how to find the difference between fraction and a whole number by subtracting 17 from 7/6. use any one of the following methods to find the equivalent fraction for 7/6 minus 17.
1. LCM method
2. Cross multiplication method.
(7/6) - (17) using LCM Method:
What is 7/6 minus 17 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/6
Fraction B: 17/1
What to be found?
(7/6) - (17) = ?
Find what's the difference between 7/6 and 17.
step 2 Compare the denominators of fractions 7/6 and 17 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 7/6 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 7/6 and 17:
The LCM of 6 and 1 is 6.
step 4 Write the fractions 7/6 and 17 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 7/6 - 17
= [(7 x 6)/(6 x 6)] - [(17 x 6)/(1 x 6)]
step 5 Simplify the expression to have common denominator:
= 7/6 - 102/6
step 6 Take the common values out and rewrite the above expression like the below:
= 1/6 x (7/1 - 102/1)
= 1/6 x (7 - 102)
step 7Simplify the above expression further:
= 1/6 x -95
= -95/6
7/6 - 17 = -95/6
Hence,
7/6 minus 17 as a fraction is -95/6.
7/6 - 17 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/6
Fraction B: 17/1
What to be found?
(7/6)-(17) = ?
Find what's the difference between 7/6 and 17.
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 (17 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 1) and rewrite the equation as like the below:
= (7 x 1) - (17 x 6)/(6 x 1)
step 3 Simplify and rewrite the fraction:
= (7 - 102)/6
7/6 - 17 = -95/6
Hence,
7/6 minus 17 in fraction is -95/6