What is 1/4 plus 7 in fraction?

1/4 plus 7 equals to 29/4 in fraction form.

Learn how to find what is 1/4 plus 7 in fraction form just in a few minutes. We have covered the easiest method to write 1/4 + 7 as a fraction and decimal.

Summary: __1/4 plus 7__

Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 1/4 and 7 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) + (7 x 4/4) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 29/4.

1/4 + 7 = (?)

1/4 + 7/1 = [(1 x 1) + (7 x 4)]/(4 x 1)

= (1 + 28)/4

= 29/4

1/4 + 7 = 29/4

1/4 is a fraction as an addend,

7 is a fraction as an addend,

29/4 is the sum of 1/4 and 7.

1/4 + 7 = 29/4

29/4 = 7.25

1/4+7 as a decimal is 7.25

7.25 is the sum of 1/4 and 7.

The below workout with step by step calculation shows how to find the equivalent fraction between 1/4 and 7 by adding fraction to a whole number . The sum in fraction form for 1/4 plus 7/1 can be obtained by using anyone of the two methods below.

1. LCM method

2. Cross multiplication method.

**1/4+7 using LCM Method:**

What is 1/4 plus 7 as a fraction?

step 1 Observe the input parameters and what to be found:__Input:__

Fraction A: 1/4

Fraction B: 7/1__What to be found?__

1/4+7 = ?

Find what's the sum of 1/4 and 7.

step 2 Compare the denominators of fractions 1/4 and 7 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/4 and 7 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 7:

The LCM of 4 and 1 is 4.

step 4 Write the fractions 1/4 and 7 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.

=1/4+7

=(1 x 4)/(4 x 4)+(7 x 4)/(1 x 4)

step 5 Simplify the expression to have common denominator:

=1/4+28/4

step 6 Take the common values out and rewrite the above expression like the below:

=1/4 x (1/1+28/1)

=1/4 x (1 + 28)

step 7Simplify the above expression further:

=1/4 x 29

=29/4

1/4+7=29/4

Hence,

1/4 plus 7 equals to **29/4** in fraction.

**1/4+7 using Cross Multiplication Method:**

step 1 Observe the input parameters and what to be found:__Input:__

Fraction A: 1/4

Fraction B: 7/1__What to be found?__

1/4+7 = ?

Find what's the sum of 1/4 and 7.

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 (7 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) + (7 x 4)/(4 x 1)

step 3 Simplify and rewrite the fraction:

= (1 + 28)/4

1/4+7 = 29/4

Hence,

1/4 plus 7 = **29/4**