8/7 minus 2/3 as a fraction
8/7 - 2/3 as a fraction provides the detailed information about what is 8/7 minus 2/3 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.
8/7-2/3 equals to
8/7 - 2/3 = (?)
8/7 - 2/3 = [(8 x 3) - (2 x 7)]/(7 x 3)
= (24 - 14)/21
= 10/21
8/7 - 2/3 = 10/21
8/7 minus 2/3 is equal to 10/21
where
8/7 is a fraction as a minuend,
2/3 is a fraction as a subtrahend,
10/21 is the difference between 8/7 and 2/3.
8/7 minus 2/3 as a decimal
8/7 - 2/3 = 10/21
10/21 = 0.4762
8/7-2/3 as a decimal is 0.4762
where
0.4762 is the difference between 8/7 and 2/3.
How-to: 8/7 - 2/3 = ?
1. LCM method,
2. Cross multiplication method.
Problem and Workout - LCM Method:
What is 8/7 minus 2/3 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/7
Fraction B: 2/3
What to be found?
8/7-2/3 = ?
Find what's the difference between 8/7 and 2/3.
step 2 Compare the denominators of fractions 8/7 and 2/3 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 8/7 and 2/3 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 8/7 and 2/3:
The LCM of 7 and 3 is 21.
step 4 Write the fractions 8/7 and 2/3 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=8/7-2/3
=(8 x 21)/(7 x 21)-(2 x 21)/(3 x 21)
step 5 Simplify the expression to have common denominator:
=24/21-14/21
step 6 Take the common values out and rewrite the above expression like the below:
=1/21 x (24/1-14/1)
=1/21 x (24 - 14)
step 7Simplify the above expression further:
=1/21 x 10
=10/21
8/7-2/3=10/21
Hence,
8/7 minus 2/3 equals to 10/21 in fraction.
Problem and Workout - Cross Multiplication Method
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 8/7
Fraction B: 2/3
What to be found?
8/7-2/3 = ?
Find what's the difference between 8/7 and 2/3.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (8 x 3), find the product of numerator of Fraction B and denominator of Fraction A (2 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 3) and rewrite the equation as like the below:
= (8 x 3) - (2 x 7)/(7 x 3)
step 3 Simplify and rewrite the fraction:
= (24 - 14)/21
8/7-2/3 = 10/21
Hence,
8/7 minus 2/3 = 10/21
