What is 2 - 7/16 in fraction?
2 - 7/16 equals to 25/16 in fraction form.
Learn how to find what is 2 minus 7/16 in fraction form just in a few minutes. We have covered the easiest method to write 2 - 7/16 as a fraction and decimal.
Summary: 2 minus 7/16 = 25/16
Since both fractions have unequal denominators, 2 minus 7/16 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 2 and fraction 7/16 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 16. 16 is the LCM of 1 and 16. Multiplying the LCM 16 with the numerators and denominators of both fractions (2 x 16/16) - (7/16 x 16/16), and simplify further in order to have the common denominator. So the equivalent fraction for 2 is 32/16 and for 7/16 is 7/16. By simplifying this fraction subtraction 32/16 - 7/16, it becomes 25/16.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 7/16 from 2. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 2 minus 7/16.
1. LCM method
2. Cross multiplication method.
(2) - (7/16) using LCM Method:
What is 2 minus 7/16 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/1
Fraction B: 7/16
What to be found?
(2) - (7/16) = ?
Find what's the difference between 2 and 7/16.
step 2 Compare the denominators of fractions 2 and 7/16 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 2 and 7/16 are not equal, it is said to be unlike fractions subtraction.
step 3For unlike fractions subtraction, find the LCM (least common multiple) of both denominators of fractions 2 and 7/16:
The LCM of 1 and 16 is 16.
step 4 Write the fractions 2 and 7/16 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2 - 7/16
= [(2 x 16)/(1 x 16)] - [(7 x 16)/(16 x 16)]
step 5 Simplify the expression to have common denominator:
= 32/16 - 7/16
step 6 Take the common values out and rewrite the above expression like the below:
= 1/16 x (32/1 - 7/1)
= 1/16 x (32 - 7)
step 7Simplify the above expression further:
= 1/16 x 25
= 25/16
2 - 7/16 = 25/16
Hence,
2 minus 7/16 as a fraction is 25/16.
2 - 7/16 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/1
Fraction B: 7/16
What to be found?
(2)-(7/16) = ?
Find what's the difference between 2 and 7/16.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 16), find the product of numerator of Fraction B and denominator of Fraction A (7 x 1), and find the product of both denominators of Fraction A and Fraction B (1 x 16) and rewrite the equation as like the below:
= (2 x 16) - (7 x 1)/(1 x 16)
step 3 Simplify and rewrite the fraction:
= (32 - 7)/16
2 - 7/16 = 25/16
Hence,
2 minus 7/16 in fraction is 25/16