7/12 plus 3/10 as a fraction
7/12 + 3/10 as a fraction provides the detailed information about what is 7/12 plus 3/10 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.
7/12+3/10 equals to
7/12 + 3/10 = (?)
7/12 + 3/10 = [(7 x 10) + (3 x 12)]/(12 x 10)
= (70 + 36)/120
= 106/120
= (2 x 53)/(2 x 60)
= 53/60
7/12 + 3/10 = 53/60
7/12 plus 3/10 is equal to 53/60
where
7/12 is a fraction as an addend,
3/10 is a fraction as an addend,
53/60 is the sum of 7/12 and 3/10.
7/12 plus 3/10 as a decimal
7/12 + 3/10 = 53/60
53/60 = 0.8833
7/12+3/10 as a decimal is 0.8833
where
0.8833 is the sum of 7/12 and 3/10.
How-to: 7/12 + 3/10 = ?
1. LCM method,
2. Cross multiplication method.
Problem and Workout - LCM Method:
What is 7/12 plus 3/10 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/12
Fraction B: 3/10
What to be found?
7/12+3/10 = ?
Find what's the sum of 7/12 and 3/10.
step 2 Compare the denominators of fractions 7/12 and 3/10 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 7/12 and 3/10 are not equal, it is said to be unlike fractions addition.
step 3For unlike fractions addition, find the LCM (least common multiple) of both denominators of fractions 7/12 and 3/10:
The LCM of 12 and 10 is 60.
step 4 Write the fractions 7/12 and 3/10 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=7/12+3/10
=(7 x 60)/(12 x 60)+(3 x 60)/(10 x 60)
step 5 Simplify the expression to have common denominator:
=35/60+18/60
step 6 Take the common values out and rewrite the above expression like the below:
=1/60 x (35/1+18/1)
=1/60 x (35 + 18)
step 7Simplify the above expression further:
=1/60 x 53
=53/60
7/12+3/10=53/60
Hence,
7/12 plus 3/10 equals to 53/60 in fraction.
Problem and Workout - Cross Multiplication Method
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/12
Fraction B: 3/10
What to be found?
7/12+3/10 = ?
Find what's the sum of 7/12 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 12), and find the product of both denominators of Fraction A and Fraction B (12 x 10) and rewrite the equation as like the below:
= (7 x 10) + (3 x 12)/(12 x 10)
step 3 Simplify and rewrite the fraction:
= (70 + 36)/120
= 106/120
= 53/60
7/12+3/10 = 53/60
Hence,
7/12 plus 3/10 = 53/60
