What is 1/4 plus 1/8 in fraction?
1/4 plus 1/8 equals to 3/8 in fraction form.
1/4 + 1/8 in fraction form
Learn how to find what is 1/4 plus 1/8 in fraction form just in a few minutes. We have covered the easiest method to write 1/4 + 1/8 as a fraction and decimal.
Summary: 1/4 plus 1/8
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 1/4 and 1/8 having identical denominators before starting adding the fractions. Find the LCM of denominators, 8 is the LCM of 4 and 8. Multiply the LCM 8 with all the numerators and denominators of both fractions (1/4 x 8/8) + (1/8 x 8/8) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 3/8.
1/4+1/8 as a fraction
1/4 + 1/8 = (?)
1/4 + 1/8 = [(1 x 8) + (1 x 4)]/(4 x 8)
= (8 + 4)/32
= 12/32
= (4 x 3)/(4 x 8)
= 3/8
1/4 + 1/8 = 3/8
1/4 plus 1/8 as a fraction is 3/8.
where
1/4 is a fraction as an addend,
1/8 is a fraction as an addend,
3/8 is the sum of 1/4 and 1/8.
1/4 plus 1/8 as a decimal
1/4 + 1/8 = 3/8
3/8 = 0.375
1/4+1/8 as a decimal is 0.375
where
0.375 is the sum of 1/4 and 1/8.
How to find 1/4+1/8 as a fraction?
The below workout with step by step calculation shows how to find the equivalent fraction between 1/4 and 1/8 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/4 plus 1/8 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
1/4+1/8 using LCM Method:
What is 1/4 plus 1/8 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/4
Fraction B: 1/8
What to be found?
1/4+1/8 = ?
Find what's the sum of 1/4 and 1/8.
step 2 Compare the denominators of fractions 1/4 and 1/8 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/4 and 1/8 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 1/4 and 1/8:
The LCM of 4 and 8 is 8.
step 4 Write the fractions 1/4 and 1/8 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=1/4+1/8
=(1 x 8)/(4 x 8)+(1 x 8)/(8 x 8)
step 5 Simplify the expression to have common denominator:
=2/8+1/8
step 6 Take the common values out and rewrite the above expression like the below:
=1/8 x (2/1+1/1)
=1/8 x (2 + 1)
step 7Simplify the above expression further:
=1/8 x 3
=3/8
1/4+1/8=3/8
Hence,
1/4 plus 1/8 equals to 3/8 in fraction.
1/4+1/8 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/4
Fraction B: 1/8
What to be found?
1/4+1/8 = ?
Find what's the sum of 1/4 and 1/8.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 8), find the product of numerator of Fraction B and denominator of Fraction A (1 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 8) and rewrite the equation as like the below:
= (1 x 8) + (1 x 4)/(4 x 8)
step 3 Simplify and rewrite the fraction:
= (8 + 4)/32
= 12/32
= 3/8
1/4+1/8 = 3/8
Hence,
1/4 plus 1/8 = 3/8