7/8 minus 3/10 as a fraction
7/8 - 3/10 as a fraction provides the detailed information about what is 7/8 minus 3/10 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.
7/8-3/10 equals to
7/8 - 3/10 = (?)
7/8 - 3/10 = [(7 x 10) - (3 x 8)]/(8 x 10)
= (70 - 24)/80
= 46/80
= (2 x 23)/(2 x 40)
= 23/40
7/8 - 3/10 = 23/40
7/8 minus 3/10 is equal to 23/40
where
7/8 is a fraction as a minuend,
3/10 is a fraction as a subtrahend,
23/40 is the difference between 7/8 and 3/10.
7/8 minus 3/10 as a decimal
7/8 - 3/10 = 23/40
23/40 = 0.575
7/8-3/10 as a decimal is 0.575
where
0.575 is the difference between 7/8 and 3/10.
How-to: 7/8 - 3/10 = ?
1. LCM method,
2. Cross multiplication method.
Problem and Workout - LCM Method:
What is 7/8 minus 3/10 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/8
Fraction B: 3/10
What to be found?
7/8-3/10 = ?
Find what's the difference between 7/8 and 3/10.
step 2 Compare the denominators of fractions 7/8 and 3/10 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 7/8 and 3/10 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 7/8 and 3/10:
The LCM of 8 and 10 is 40.
step 4 Write the fractions 7/8 and 3/10 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=7/8-3/10
=(7 x 40)/(8 x 40)-(3 x 40)/(10 x 40)
step 5 Simplify the expression to have common denominator:
=35/40-12/40
step 6 Take the common values out and rewrite the above expression like the below:
=1/40 x (35/1-12/1)
=1/40 x (35 - 12)
step 7Simplify the above expression further:
=1/40 x 23
=23/40
7/8-3/10=23/40
Hence,
7/8 minus 3/10 equals to 23/40 in fraction.
Problem and Workout - Cross Multiplication Method
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/8
Fraction B: 3/10
What to be found?
7/8-3/10 = ?
Find what's the difference between 7/8 and 3/10.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 10), find the product of numerator of Fraction B and denominator of Fraction A (3 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 10) and rewrite the equation as like the below:
= (7 x 10) - (3 x 8)/(8 x 10)
step 3 Simplify and rewrite the fraction:
= (70 - 24)/80
= 46/80
= 23/40
7/8-3/10 = 23/40
Hence,
7/8 minus 3/10 = 23/40
