What is 2/5 plus 2/12 in fraction?
2/5 plus 2/12 equals to 17/30 in fraction form.
2/5 + 2/12 in fraction form
Learn how to find what is 2/5 plus 2/12 in fraction form just in a few minutes. We have covered the easiest method to write 2/5 + 2/12 as a fraction and decimal.
Summary: 2/5 plus 2/12
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 2/5 and 2/12 having identical denominators before starting adding the fractions. Find the LCM of denominators, 60 is the LCM of 5 and 12. Multiply the LCM 60 with all the numerators and denominators of both fractions (2/5 x 60/60) + (2/12 x 60/60) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 34/60.
2/5+2/12 as a fraction
2/5 + 2/12 = (?)
2/5 + 2/12 = [(2 x 12) + (2 x 5)]/(5 x 12)
= (24 + 10)/60
= 34/60
= (2 x 17)/(2 x 30)
= 17/30
2/5 + 2/12 = 17/30
2/5 plus 2/12 as a fraction is 17/30.
where
2/5 is a fraction as an addend,
2/12 is a fraction as an addend,
17/30 is the sum of 2/5 and 2/12.
2/5 plus 2/12 as a decimal
2/5 + 2/12 = 17/30
17/30 = 0.5667
2/5+2/12 as a decimal is 0.5667
where
0.5667 is the sum of 2/5 and 2/12.
How to find 2/5+2/12 as a fraction?
The below workout with step by step calculation shows how to find the equivalent fraction between 2/5 and 2/12 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 2/5 plus 2/12 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
2/5+2/12 using LCM Method:
What is 2/5 plus 2/12 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 2/12
What to be found?
2/5+2/12 = ?
Find what's the sum of 2/5 and 2/12.
step 2 Compare the denominators of fractions 2/5 and 2/12 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 2/5 and 2/12 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 2/5 and 2/12:
The LCM of 5 and 12 is 60.
step 4 Write the fractions 2/5 and 2/12 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=2/5+2/12
=(2 x 60)/(5 x 60)+(2 x 60)/(12 x 60)
step 5 Simplify the expression to have common denominator:
=24/60+10/60
step 6 Take the common values out and rewrite the above expression like the below:
=1/60 x (24/1+10/1)
=1/60 x (24 + 10)
step 7Simplify the above expression further:
=1/60 x 34
= 34/60
=17/30
2/5+2/12=17/30
Hence,
2/5 plus 2/12 equals to 17/30 in fraction.
2/5+2/12 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/5
Fraction B: 2/12
What to be found?
2/5+2/12 = ?
Find what's the sum of 2/5 and 2/12.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 12), find the product of numerator of Fraction B and denominator of Fraction A (2 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:
= (2 x 12) + (2 x 5)/(5 x 12)
step 3 Simplify and rewrite the fraction:
= (24 + 10)/60
= 34/60
= 17/30
2/5+2/12 = 17/30
Hence,
2/5 plus 2/12 = 17/30