7/6 - 7/17 as a fraction

Learn how to find what is 7/6 minus 7/17 in fraction form just in a few minutes. We have covered the easiest method to write 7/6 - 7/17 as a fraction and decimal.

Summary: 7/6 minus 7/17 = 77/102
Since both fractions have unequal denominators, 7/6 minus 7/17 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 7/6 and fraction 7/17 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 6 and 17. 102 is the LCM of 6 and 17. Multiplying the LCM 102 with the numerators and denominators of both fractions (7/6 x 102/102) - (7/17 x 102/102), and simplify further in order to have the common denominator. So the equivalent fraction for 7/6 is 119/102 and for 7/17 is 42/102. By simplifying this fraction subtraction 119/102 - 42/102, it becomes 77/102.

Pie Chart Representation: 7/6 - 7/17 = 77/102

CALCULATION: 7/6 - 7/17 as a fraction
7/6 - 7/17 = (?)
7/6 - 7/17 = [(7 x 17) - (7 x 6)]/(6 x 17)
= (119 - 42)/102
= 77/102
7/6 - 7/17 = 77/102
7/6 minus 7/17 as a fraction is 77/102.

where
7/6 is a improper fraction as a minuend,
7/17 is a proper fraction as a subtrahend,
77/102 is the difference between 7/6 and 7/17.

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7/6 minus 7/17 as a decimal
7/6 - 7/17 = 77/102
77/102 = 0.7549
(7/6) - (7/17) as a decimal is 0.7549

where
0.7549 is the difference between 7/6 and 7/17.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 7/17 from 7/6. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 7/6 minus 7/17.
1. LCM method
2. Cross multiplication method.

(7/6) - (7/17) using LCM Method:
What is 7/6 minus 7/17 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/6
Fraction B: 7/17

What to be found?
(7/6) - (7/17) = ?
Find what's the difference between 7/6 and 7/17.

step 2 Compare the denominators of fractions 7/6 and 7/17 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 7/6 and 7/17 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 7/17:
The LCM of 6 and 17 is 102.

step 4 Write the fractions 7/6 and 7/17 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 7/6 - 7/17
= [(7 x 102)/(6 x 102)] - [(7 x 102)/(17 x 102)]

step 5 Simplify the expression to have common denominator:
= 119/102 - 42/102

step 6 Take the common values out and rewrite the above expression like the below:
= 1/102 x (119/1 - 42/1)
= 1/102 x (119 - 42)

step 7Simplify the above expression further:
= 1/102 x 77
= 77/102
7/6 - 7/17 = 77/102

Hence,
7/6 minus 7/17 as a fraction is 77/102.

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7/6 - 7/17 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/6
Fraction B: 7/17

What to be found?
(7/6)-(7/17) = ?
Find what's the difference between 7/6 and 7/17.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 17), find the product of numerator of Fraction B and denominator of Fraction A (7 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 17) and rewrite the equation as like the below:
= (7 x 17) - (7 x 6)/(6 x 17)

step 3 Simplify and rewrite the fraction:
= (119 - 42)/102
7/6 - 7/17 = 77/102

Hence,
7/6 minus 7/17 in fraction is 77/102