11/59 subtracted by 12/4 in Fraction Form

The result of 11/59 subtracted by 12/4 is: -3 11/59

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction 124 from 1159.

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 59 and 4 is 236.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1159 to 44236
Convert 124 to 708236

Step 4: Subtract the Numerators

Subtract the numerators: 44 - 708 = -664

Step 5: Simplify the Fraction

We can simplify 664236 to its lowest form.
The greatest common divisor (GCD) of -664 and 236 is 4.
Dividing both numerator and denominator by the GCD, we get 16659.

Step 6: Convert to Mixed Number

The fraction 16659 can be written as the mixed number 31159.

Final Answer

The result of 11/59 subtracted by 12/4 is:

1159124=31159

Understanding Fraction Subtraction

How to Subtract Fractions

To subtract fractions, you need to ensure they have a common denominator. Then subtract the numerators:

abcd=adbcbd (when denominators are different)

Or simply abcb=acb (when denominators are the same)

Why Simplify Fractions?

Simplifying fractions makes them easier to work with and understand. A fraction is in its simplest form when the numerator and denominator have no common factors other than 1.

To simplify a fraction, divide both the numerator and denominator by their greatest common divisor (GCD).

Fraction Calculator

Calculate operations between any two fractions: