What is 1/2 plus 4/17 in fraction?
1/2 plus 4/17 equals to 25/34 in fraction form.
Learn how to find what is 1/2 plus 4/17 in fraction form just in a few minutes. We have covered the easiest method to write 1/2 + 4/17 as a fraction and decimal.
Summary: 1/2 plus 4/17
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 1/2 and 4/17 having identical denominators before starting adding the fractions. Find the LCM of denominators, 34 is the LCM of 2 and 17. Multiply the LCM 34 with all the numerators and denominators of both fractions (1/2 x 34/34) + (4/17 x 34/34) and simplify further in order to have the common denominators. By simplifying the fraction addition expression becomes 25/34.
The below workout with step by step calculation shows how to find the equivalent fraction between 1/2 and 4/17 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 1/2 plus 4/17 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.
1/2+4/17 using LCM Method:
What is 1/2 plus 4/17 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 4/17
What to be found?
1/2+4/17 = ?
Find what's the sum of 1/2 and 4/17.
step 2 Compare the denominators of fractions 1/2 and 4/17 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 1/2 and 4/17 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 1/2 and 4/17:
The LCM of 2 and 17 is 34.
step 4 Write the fractions 1/2 and 4/17 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
=1/2+4/17
=(1 x 34)/(2 x 34)+(4 x 34)/(17 x 34)
step 5 Simplify the expression to have common denominator:
=17/34+8/34
step 6 Take the common values out and rewrite the above expression like the below:
=1/34 x (17/1+8/1)
=1/34 x (17 + 8)
step 7Simplify the above expression further:
=1/34 x 25
=25/34
1/2+4/17=25/34
Hence,
1/2 plus 4/17 equals to 25/34 in fraction.
1/2+4/17 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 4/17
What to be found?
1/2+4/17 = ?
Find what's the sum of 1/2 and 4/17.
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 (4 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 17) and rewrite the equation as like the below:
= (1 x 17) + (4 x 2)/(2 x 17)
step 3 Simplify and rewrite the fraction:
= (17 + 8)/34
1/2+4/17 = 25/34
Hence,
1/2 plus 4/17 = 25/34