What is 1/6 - 4/7?

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 4/7 from 1/6. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 1/6 minus 4/7.
1. LCM method
2. Cross multiplication method.

Problem and Workout - LCM Method
What is 1/6 minus 4/7 as a fraction by subtraction using LCM method?

step 1 Address formula, input parameters and values.
Input parameters and values:
1/6 & 4/7
1/6-4/7 = ?

step 2 For unequal denominators, find the LCM (least common multiple) for both denominators
The LCM for 6 and 7 is 42.

step 3 To have the common denominator, multiply the LCM with both numerator and denominator
=(1 x 42)/(6 x 42)-(4 x 42)/(7 x 42)
=7/42-24/42
=(7 - 24)/42

step 4 Find difference between numerators and rewrite it in a single form.
=-17/42
1/6-4/7=-17/42

By using LCM method, -17/42 is the equivalent fraction by subtracting 4/7 from 1/6.

Problem and Workout - Cross Multiplication Method
step 1 Address formula and input values.
Input values:
1/6 & 4/7
1/6 - 4/7 = ?

step 2 Cross multiply both numerator and denominator, multiply both denominators and rewrite as below
= (1 x 7) - (4 x 6)/(6 x 7)

step 3 Simplify and rewrite the fraction
= (7 - 24)/42
1/6-4/7 = -17/42
By using cross multiplication method, -17/42 is the difference between two fractions 1/6 and 4/7.