What is 1/9 plus 1/17 in fraction?
1/9 plus 1/17 equals to 26/153 in fraction form.
1/9 + 1/17 in fraction form
Learn how to find what is 1/9 plus 1/17 in fraction form just in a few minutes. We have covered the easiest method to write 1/9 + 1/17 as a fraction and decimal.
Summary: 1/9 plus 1/17
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 1/9 and 1/17 having identical denominators before starting adding the fractions. Find the LCM of denominators, 153 is the LCM of 9 and 17. Multiply the LCM 153 with all the numerators and denominators of both fractions (1/9 x 153/153) + (1/17 x 153/153) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 26/153.
1/9+1/17 as a fraction
1/9 + 1/17 = (?)
1/9 + 1/17 = [(1 x 17) + (1 x 9)]/(9 x 17)
= (17 + 9)/153
= 26/153
1/9 + 1/17 = 26/153
1/9 plus 1/17 as a fraction is 26/153.
where
1/9 is a fraction as an addend,
1/17 is a fraction as an addend,
26/153 is the sum of 1/9 and 1/17.
1/9 plus 1/17 as a decimal
1/9 + 1/17 = 26/153
26/153 = 0.1699
1/9+1/17 as a decimal is 0.1699
where
0.1699 is the sum of 1/9 and 1/17.
How to find 1/9+1/17 as a fraction?
The below workout with step by step calculation shows how to find the equivalent fraction between 1/9 and 1/17 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/9 plus 1/17 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
1/9+1/17 using LCM Method:
What is 1/9 plus 1/17 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/9
Fraction B: 1/17
What to be found?
1/9+1/17 = ?
Find what's the sum of 1/9 and 1/17.
step 2 Compare the denominators of fractions 1/9 and 1/17 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/9 and 1/17 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 1/9 and 1/17:
The LCM of 9 and 17 is 153.
step 4 Write the fractions 1/9 and 1/17 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=1/9+1/17
=(1 x 153)/(9 x 153)+(1 x 153)/(17 x 153)
step 5 Simplify the expression to have common denominator:
=17/153+9/153
step 6 Take the common values out and rewrite the above expression like the below:
=1/153 x (17/1+9/1)
=1/153 x (17 + 9)
step 7Simplify the above expression further:
=1/153 x 26
=26/153
1/9+1/17=26/153
Hence,
1/9 plus 1/17 equals to 26/153 in fraction.
1/9+1/17 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/9
Fraction B: 1/17
What to be found?
1/9+1/17 = ?
Find what's the sum of 1/9 and 1/17.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 17), find the product of numerator of Fraction B and denominator of Fraction A (1 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 17) and rewrite the equation as like the below:
= (1 x 17) + (1 x 9)/(9 x 17)
step 3 Simplify and rewrite the fraction:
= (17 + 9)/153
1/9+1/17 = 26/153
Hence,
1/9 plus 1/17 = 26/153