What is 1/4 minus 9 in fraction?
1/4 minus 9 equals to -35/4 in fraction form.
1/4 - 9 in fraction form
Learn how to find what is 1/4 minus 9 in fraction form just in a few minutes. We have covered the easiest method to write 1/4 - 9 as a fraction and decimal.
Summary: 1/4 minus 9
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 1/4 and 9 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) - (9 x 4/4) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes -35/4.
1/4-9 as a fraction
1/4 - 9 = (?)
1/4 - 9/1 = [(1 x 1) - (9 x 4)]/(4 x 1)
= (1 - 36)/4
= -35/4
1/4 - 9 = -35/4
1/4 minus 9 as a fraction is -35/4.
where
1/4 is a fraction as a minuend,
9 is a fraction as a subtrahend,
-35/4 is the difference between 1/4 and 9.
1/4 minus 9 as a decimal
1/4 - 9 = -35/4
-35/4 = -8.75
1/4-9 as a decimal is -8.75
where
-8.75 is the difference between 1/4 and 9.
How to find 1/4-9 as a fraction?
The below workout with step by step calculation shows how to find the difference between fraction and a whole number by subtracting 9 from 1/4. use any one of the following methods to find the equivalent fraction for 1/4 minus 9.
1. LCM method
2. Cross multiplication method.
1/4-9 using LCM Method:
What is 1/4 minus 9 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/4
Fraction B: 9/1
What to be found?
1/4-9 = ?
Find what's the difference between 1/4 and 9.
step 2 Compare the denominators of fractions 1/4 and 9 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/4 and 9 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 1/4 and 9:
The LCM of 4 and 1 is 4.
step 4 Write the fractions 1/4 and 9 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=1/4-9
=(1 x 4)/(4 x 4)-(9 x 4)/(1 x 4)
step 5 Simplify the expression to have common denominator:
=1/4-36/4
step 6 Take the common values out and rewrite the above expression like the below:
=1/4 x (1/1-36/1)
=1/4 x (1 - 36)
step 7Simplify the above expression further:
=1/4 x -35
=-35/4
1/4-9=-35/4
Hence,
1/4 minus 9 equals to -35/4 in fraction.
1/4-9 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/4
Fraction B: 9/1
What to be found?
1/4-9 = ?
Find what's the difference between 1/4 and 9.
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 (9 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) - (9 x 4)/(4 x 1)
step 3 Simplify and rewrite the fraction:
= (1 - 36)/4
1/4-9 = -35/4
Hence,
1/4 minus 9 = -35/4