12/5 plus 3/12 as a fraction
12/5 + 3/12 as a fraction provides the detailed information about what is 12/5 plus 3/12 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.
12/5+3/12 equals to
12/5 + 3/12 = (?)
12/5 + 3/12 = [(12 x 12) + (3 x 5)]/(5 x 12)
= (144 + 15)/60
= 159/60
= (3 x 53)/(3 x 20)
= 53/20
12/5 + 3/12 = 53/20
12/5 plus 3/12 is equal to 53/20
where
12/5 is a fraction as an addend,
3/12 is a fraction as an addend,
53/20 is the sum of 12/5 and 3/12.
12/5 plus 3/12 as a decimal
12/5 + 3/12 = 53/20
53/20 = 2.65
12/5+3/12 as a decimal is 2.65
where
2.65 is the sum of 12/5 and 3/12.
How-to: 12/5 + 3/12 = ?
1. LCM method,
2. Cross multiplication method.
Problem and Workout - LCM Method:
What is 12/5 plus 3/12 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 12/5
Fraction B: 3/12
What to be found?
12/5+3/12 = ?
Find what's the sum of 12/5 and 3/12.
step 2 Compare the denominators of fractions 12/5 and 3/12 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 12/5 and 3/12 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 12/5 and 3/12:
The LCM of 5 and 12 is 60.
step 4 Write the fractions 12/5 and 3/12 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=12/5+3/12
=(12 x 60)/(5 x 60)+(3 x 60)/(12 x 60)
step 5 Simplify the expression to have common denominator:
=144/60+15/60
step 6 Take the common values out and rewrite the above expression like the below:
=1/60 x (144/1+15/1)
=1/60 x (144 + 15)
step 7Simplify the above expression further:
=1/60 x 159
= 159/60
=53/20
12/5+3/12=53/20
Hence,
12/5 plus 3/12 equals to 53/20 in fraction.
Problem and Workout - Cross Multiplication Method
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 12/5
Fraction B: 3/12
What to be found?
12/5+3/12 = ?
Find what's the sum of 12/5 and 3/12.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (12 x 12), find the product of numerator of Fraction B and denominator of Fraction A (3 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 12) and rewrite the equation as like the below:
= (12 x 12) + (3 x 5)/(5 x 12)
step 3 Simplify and rewrite the fraction:
= (144 + 15)/60
= 159/60
= 53/20
12/5+3/12 = 53/20
Hence,
12/5 plus 3/12 = 53/20
