4/3 minus 5/7 as a fraction

4/3 - 5/7 as a fraction provides the detailed information about what is 4/3 minus 5/7 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.
4/3-5/7 equals to
4/3 - 5/7 = (?)
4/3 - 5/7 = [(4 x 7) - (5 x 3)]/(3 x 7)
= (28 - 15)/21
= 13/21
4/3 - 5/7 = 13/21
4/3 minus 5/7 is equal to 13/21
where
4/3 is a fraction as a minuend,
5/7 is a fraction as a subtrahend,
13/21 is the difference between 4/3 and 5/7.
4/3 minus 5/7 as a decimal
4/3 - 5/7 = 13/21
13/21 = 0.619
4/3-5/7 as a decimal is 0.619
where
0.619 is the difference between 4/3 and 5/7.
How-to: 4/3 - 5/7 = ?
1. LCM method,
2. Cross multiplication method.
Problem and Workout - LCM Method:
What is 4/3 minus 5/7 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/3
Fraction B: 5/7
What to be found?
4/3-5/7 = ?
Find what's the difference between 4/3 and 5/7.
step 2 Compare the denominators of fractions 4/3 and 5/7 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 4/3 and 5/7 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 4/3 and 5/7:
The LCM of 3 and 7 is 21.
step 4 Write the fractions 4/3 and 5/7 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=4/3-5/7
=(4 x 21)/(3 x 21)-(5 x 21)/(7 x 21)
step 5 Simplify the expression to have common denominator:
=28/21-15/21
step 6 Take the common values out and rewrite the above expression like the below:
=1/21 x (28/1-15/1)
=1/21 x (28 - 15)
step 7Simplify the above expression further:
=1/21 x 13
=13/21
4/3-5/7=13/21
Hence,
4/3 minus 5/7 equals to 13/21 in fraction.
Problem and Workout - Cross Multiplication Method
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/3
Fraction B: 5/7
What to be found?
4/3-5/7 = ?
Find what's the difference between 4/3 and 5/7.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (4 x 7), find the product of numerator of Fraction B and denominator of Fraction A (5 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 7) and rewrite the equation as like the below:
= (4 x 7) - (5 x 3)/(3 x 7)
step 3 Simplify and rewrite the fraction:
= (28 - 15)/21
4/3-5/7 = 13/21
Hence,
4/3 minus 5/7 = 13/21
