What is 7/8 plus 1/4 in fraction?
7/8 plus 1/4 equals to 9/8 in fraction form.
Learn how to find what is 7/8 plus 1/4 in fraction form just in a few minutes. We have covered the easiest method to write 7/8 + 1/4 as a fraction and decimal.
Summary: 7/8 plus 1/4
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 7/8 and 1/4 having identical denominators before starting adding the fractions. Find the LCM of denominators, 8 is the LCM of 8 and 4. Multiply the LCM 8 with all the numerators and denominators of both fractions (7/8 x 8/8) + (1/4 x 8/8) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 9/8.
The below workout with step by step calculation shows how to find the equivalent fraction between 7/8 and 1/4 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 7/8 plus 1/4 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
7/8+1/4 using LCM Method:
What is 7/8 plus 1/4 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/8
Fraction B: 1/4
What to be found?
7/8+1/4 = ?
Find what's the sum of 7/8 and 1/4.
step 2 Compare the denominators of fractions 7/8 and 1/4 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 7/8 and 1/4 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 7/8 and 1/4:
The LCM of 8 and 4 is 8.
step 4 Write the fractions 7/8 and 1/4 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=7/8+1/4
=(7 x 8)/(8 x 8)+(1 x 8)/(4 x 8)
step 5 Simplify the expression to have common denominator:
=7/8+2/8
step 6 Take the common values out and rewrite the above expression like the below:
=1/8 x (7/1+2/1)
=1/8 x (7 + 2)
step 7Simplify the above expression further:
=1/8 x 9
=9/8
7/8+1/4=9/8
Hence,
7/8 plus 1/4 equals to 9/8 in fraction.
7/8+1/4 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/8
Fraction B: 1/4
What to be found?
7/8+1/4 = ?
Find what's the sum of 7/8 and 1/4.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 4), find the product of numerator of Fraction B and denominator of Fraction A (1 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 4) and rewrite the equation as like the below:
= (7 x 4) + (1 x 8)/(8 x 4)
step 3 Simplify and rewrite the fraction:
= (28 + 8)/32
= 36/32
= 9/8
7/8+1/4 = 9/8
Hence,
7/8 plus 1/4 = 9/8