What is 1/4 plus 3/14 in fraction?
1/4 plus 3/14 equals to 13/28 in fraction form.
1/4 + 3/14 in fraction form
Learn how to find what is 1/4 plus 3/14 in fraction form just in a few minutes. We have covered the easiest method to write 1/4 + 3/14 as a fraction and decimal.
Summary: 1/4 plus 3/14
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 1/4 and 3/14 having identical denominators before starting adding the fractions. Find the LCM of denominators, 28 is the LCM of 4 and 14. Multiply the LCM 28 with all the numerators and denominators of both fractions (1/4 x 28/28) + (3/14 x 28/28) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 13/28.
1/4+3/14 as a fraction
1/4 + 3/14 = (?)
1/4 + 3/14 = [(1 x 14) + (3 x 4)]/(4 x 14)
= (14 + 12)/56
= 26/56
= (2 x 13)/(2 x 28)
= 13/28
1/4 + 3/14 = 13/28
1/4 plus 3/14 as a fraction is 13/28.
where
1/4 is a fraction as an addend,
3/14 is a fraction as an addend,
13/28 is the sum of 1/4 and 3/14.
1/4 plus 3/14 as a decimal
1/4 + 3/14 = 13/28
13/28 = 0.4643
1/4+3/14 as a decimal is 0.4643
where
0.4643 is the sum of 1/4 and 3/14.
How to find 1/4+3/14 as a fraction?
The below workout with step by step calculation shows how to find the equivalent fraction between 1/4 and 3/14 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/4 plus 3/14 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
1/4+3/14 using LCM Method:
What is 1/4 plus 3/14 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/4
Fraction B: 3/14
What to be found?
1/4+3/14 = ?
Find what's the sum of 1/4 and 3/14.
step 2 Compare the denominators of fractions 1/4 and 3/14 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/4 and 3/14 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 3/14:
The LCM of 4 and 14 is 28.
step 4 Write the fractions 1/4 and 3/14 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=1/4+3/14
=(1 x 28)/(4 x 28)+(3 x 28)/(14 x 28)
step 5 Simplify the expression to have common denominator:
=7/28+6/28
step 6 Take the common values out and rewrite the above expression like the below:
=1/28 x (7/1+6/1)
=1/28 x (7 + 6)
step 7Simplify the above expression further:
=1/28 x 13
=13/28
1/4+3/14=13/28
Hence,
1/4 plus 3/14 equals to 13/28 in fraction.
1/4+3/14 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/4
Fraction B: 3/14
What to be found?
1/4+3/14 = ?
Find what's the sum of 1/4 and 3/14.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 14), find the product of numerator of Fraction B and denominator of Fraction A (3 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 14) and rewrite the equation as like the below:
= (1 x 14) + (3 x 4)/(4 x 14)
step 3 Simplify and rewrite the fraction:
= (14 + 12)/56
= 26/56
= 13/28
1/4+3/14 = 13/28
Hence,
1/4 plus 3/14 = 13/28