27/7 subtracted by 21/3 in Fraction Form

The result of 27/7 subtracted by 21/3 is: -4 6/7

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction 213 from 277.

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 7 and 3 is 21.

Step 3: Convert Fractions to Equivalent Fractions

Convert 277 to 8121
Convert 213 to 14721

Step 4: Subtract the Numerators

Subtract the numerators: 81 - 147 = -66

Step 5: Simplify the Fraction

We can simplify 6621 to its lowest form.
The greatest common divisor (GCD) of -66 and 21 is 3.
Dividing both numerator and denominator by the GCD, we get 227.

Step 6: Convert to Mixed Number

The fraction 227 can be written as the mixed number 467.

Final Answer

The result of 27/7 subtracted by 21/3 is:

277213=467

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: