What is 9/4 plus 2 in fraction?
9/4 plus 2 equals to 17/4 in fraction form.
Learn how to find what is 9/4 plus 2 in fraction form just in a few minutes. We have covered the easiest method to write 9/4 + 2 as a fraction and decimal.
Summary: 9/4 plus 2
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 9/4 and 2 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 (9/4 x 4/4) + (2 x 4/4) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 17/4.
The below workout with step by step calculation shows how to find the equivalent fraction between 9/4 and 2 by adding fraction to a whole number . The sum in fraction form for 9/4 plus 2/1 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
9/4+2 using LCM Method:
What is 9/4 plus 2 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/4
Fraction B: 2/1
What to be found?
9/4+2 = ?
Find what's the sum of 9/4 and 2.
step 2 Compare the denominators of fractions 9/4 and 2 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 9/4 and 2 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 9/4 and 2:
The LCM of 4 and 1 is 4.
step 4 Write the fractions 9/4 and 2 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=9/4+2
=(9 x 4)/(4 x 4)+(2 x 4)/(1 x 4)
step 5 Simplify the expression to have common denominator:
=9/4+8/4
step 6 Take the common values out and rewrite the above expression like the below:
=1/4 x (9/1+8/1)
=1/4 x (9 + 8)
step 7Simplify the above expression further:
=1/4 x 17
=17/4
9/4+2=17/4
Hence,
9/4 plus 2 equals to 17/4 in fraction.
9/4+2 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/4
Fraction B: 2/1
What to be found?
9/4+2 = ?
Find what's the sum of 9/4 and 2.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (9 x 1), 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 1) and rewrite the equation as like the below:
= (9 x 1) + (2 x 4)/(4 x 1)
step 3 Simplify and rewrite the fraction:
= (9 + 8)/4
9/4+2 = 17/4
Hence,
9/4 plus 2 = 17/4