What is 1/4 plus 6 in fraction?
1/4 plus 6 equals to 25/4 in fraction form.
1/4 + 6 in fraction form
Learn how to find what is 1/4 plus 6 in fraction form just in a few minutes. We have covered the easiest method to write 1/4 + 6 as a fraction and decimal.
Summary: 1/4 plus 6
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 1/4 and 6 having identical denominators before starting adding the fractions. Find the LCM of denominators, 4 is the LCM of 4 and 1. Multiply the LCM 4 with all the numerators and denominators of both fractions (1/4 x 4/4) + (6 x 4/4) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 25/4.
1/4+6 as a fraction
1/4 + 6 = (?)
1/4 + 6/1 = [(1 x 1) + (6 x 4)]/(4 x 1)
= (1 + 24)/4
= 25/4
1/4 + 6 = 25/4
1/4 plus 6 as a fraction is 25/4.
where
1/4 is a fraction as an addend,
6 is a fraction as an addend,
25/4 is the sum of 1/4 and 6.
1/4 plus 6 as a decimal
1/4 + 6 = 25/4
25/4 = 6.25
1/4+6 as a decimal is 6.25
where
6.25 is the sum of 1/4 and 6.
How to find 1/4+6 as a fraction?
The below workout with step by step calculation shows how to find the equivalent fraction between 1/4 and 6 by adding fraction to a whole number . The sum in fraction form for 1/4 plus 6/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
1/4+6 using LCM Method:
What is 1/4 plus 6 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/4
Fraction B: 6/1
What to be found?
1/4+6 = ?
Find what's the sum of 1/4 and 6.
step 2 Compare the denominators of fractions 1/4 and 6 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/4 and 6 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 6:
The LCM of 4 and 1 is 4.
step 4 Write the fractions 1/4 and 6 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=1/4+6
=(1 x 4)/(4 x 4)+(6 x 4)/(1 x 4)
step 5 Simplify the expression to have common denominator:
=1/4+24/4
step 6 Take the common values out and rewrite the above expression like the below:
=1/4 x (1/1+24/1)
=1/4 x (1 + 24)
step 7Simplify the above expression further:
=1/4 x 25
=25/4
1/4+6=25/4
Hence,
1/4 plus 6 equals to 25/4 in fraction.
1/4+6 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/4
Fraction B: 6/1
What to be found?
1/4+6 = ?
Find what's the sum of 1/4 and 6.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 1), find the product of numerator of Fraction B and denominator of Fraction A (6 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 1) and rewrite the equation as like the below:
= (1 x 1) + (6 x 4)/(4 x 1)
step 3 Simplify and rewrite the fraction:
= (1 + 24)/4
1/4+6 = 25/4
Hence,
1/4 plus 6 = 25/4