51/124 added to 127/4 in Fraction Form

The result of 51/124 added to 127/4 is: 32 5/31

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 51124 and 1274.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 124 and 4 is 124.

Step 3: Convert Fractions to Equivalent Fractions

Convert 51124 to 51124
Convert 1274 to 3937124

Step 4: Add the Numerators

Add the numerators: 51 + 3937 = 3988

Step 5: Simplify the Fraction

We can simplify 3988124 to its lowest form.
The greatest common divisor (GCD) of 3988 and 124 is 4.
Dividing both numerator and denominator by the GCD, we get 99731.

Step 6: Convert to Mixed Number

The fraction 99731 can be written as the mixed number 32531.

Final Answer

The result of 51/124 added to 127/4 is:

51124+1274=32531

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).

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