24/57 added to 223/4 in Fraction Form

The result of 24/57 added to 223/4 is: 56 13/76

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2457 and 2234.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 57 and 4 is 228.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2457 to 96228
Convert 2234 to 12711228

Step 4: Add the Numerators

Add the numerators: 96 + 12711 = 12807

Step 5: Simplify the Fraction

We can simplify 12807228 to its lowest form.
The greatest common divisor (GCD) of 12807 and 228 is 3.
Dividing both numerator and denominator by the GCD, we get 426976.

Step 6: Convert to Mixed Number

The fraction 426976 can be written as the mixed number 561376.

Final Answer

The result of 24/57 added to 223/4 is:

2457+2234=561376

Understanding Fraction Addition

How to Add Fractions

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

ab+cd=ad+bcbd (when denominators are different)

Or simply ab+cb=a+cb (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

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