1/6 minus 4/7 as a fraction
1/6 - 4/7 as a fraction provides the detailed information about what is 1/6 minus 4/7 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.
1/6-4/7 equals to
1/6 - 4/7 = (?)
1/6 - 4/7 = [(1 x 7) - (4 x 6)]/(6 x 7)
= (7 - 24)/42
= -17/42
1/6 - 4/7 = -17/42
1/6 minus 4/7 is equal to -17/42
where
1/6 is a fraction as a minuend,
4/7 is a fraction as a subtrahend,
-17/42 is the difference between 1/6 and 4/7.
1/6 minus 4/7 as a decimal
1/6 - 4/7 = -17/42
-17/42 = -0.4048
1/6-4/7 as a decimal is -0.4048
where
-0.4048 is the difference between 1/6 and 4/7.
How-to: 1/6 - 4/7 = ?
1. LCM method,
2. Cross multiplication method.
Problem and Workout - LCM Method:
What is 1/6 minus 4/7 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/6
Fraction B: 4/7
What to be found?
1/6-4/7 = ?
Find what's the difference between 1/6 and 4/7.
step 2 Compare the denominators of fractions 1/6 and 4/7 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/6 and 4/7 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 1/6 and 4/7:
The LCM of 6 and 7 is 42.
step 4 Write the fractions 1/6 and 4/7 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=1/6-4/7
=(1 x 42)/(6 x 42)-(4 x 42)/(7 x 42)
step 5 Simplify the expression to have common denominator:
=7/42-24/42
step 6 Take the common values out and rewrite the above expression like the below:
=1/42 x (7/1-24/1)
=1/42 x (7 - 24)
step 7Simplify the above expression further:
=1/42 x -17
=-17/42
1/6-4/7=-17/42
Hence,
1/6 minus 4/7 equals to -17/42 in fraction.
Problem and Workout - Cross Multiplication Method
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/6
Fraction B: 4/7
What to be found?
1/6-4/7 = ?
Find what's the difference between 1/6 and 4/7.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 7), find the product of numerator of Fraction B and denominator of Fraction A (4 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 7) and rewrite the equation as like the 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
Hence,
1/6 minus 4/7 = -17/42
