What is 1/4 + 2/94 in fraction?
1/4 + 2/94 equals to 51/188 in fraction form.
Learn how to find what is 1/4 plus 2/94 in fraction form just in a few minutes. We have covered the easiest method to write 1/4 + 2/94 as a fraction and decimal.
Summary: 1/4 plus 2/94 = 51/188
Since both fractions have unequal denominators, 1/4 plus 2/94 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 1/4 and fraction 2/94 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 4 and 94. 188 is the LCM of 4 and 94. Multiplying the LCM 188 with the numerators and denominators of both fractions (1/4 x 188/188) + (2/94 x 188/188), and simplify further in order to have the common denominator. So the equivalent fraction for 1/4 is 47/188 and for 2/94 is 4/188. By simplifying this fraction addition 47/188 + 4/188, it becomes 51/188.
Pie Chart Representation: 1/4 + 2/94 = 51/188
The below workout with step by step calculation shows how to find the equivalent fraction between 1/4 and 2/94 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/4 plus 2/94 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
(1/4) + (2/94) using LCM Method:
What is 1/4 plus 2/94 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/4
Fraction B: 2/94
What to be found?
(1/4) + (2/94) = ?
Find what's the sum of 1/4 and 2/94.
step 2 Compare the denominators of fractions 1/4 and 2/94 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/4 and 2/94 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 2/94:
The LCM of 4 and 94 is 188.
step 4 Write the fractions 1/4 and 2/94 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/4 + 2/94
= [(1 x 188)/(4 x 188)] + [(2 x 188)/(94 x 188)]
step 5 Simplify the expression to have common denominator:
= 47/188 + 4/188
step 6 Take the common values out and rewrite the above expression like the below:
= 1/188 x (47/1 + 4/1)
= 1/188 x (47 + 4)
step 7Simplify the above expression further:
= 1/188 x 51
= 51/188
1/4 + 2/94 = 51/188
Hence,
1/4 plus 2/94 as a fraction is 51/188.
1/4 + 2/94 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/4
Fraction B: 2/94
What to be found?
(1/4)+(2/94) = ?
Find what's the sum of 1/4 and 2/94.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 94), find the product of numerator of Fraction B and denominator of Fraction A (2 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 94) and rewrite the equation as like the below:
= (1 x 94) + (2 x 4)/(4 x 94)
step 3 Simplify and rewrite the fraction:
= (94 + 8)/376
= 102/376
= 51/188
1/4 + 2/94 = 51/188
Hence,
1/4 plus 2/94 in fraction is 51/188