127/31 added to 153/3 in Fraction Form

The result of 127/31 added to 153/3 is: 55 3/31

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 12731 and 1533.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 31 and 3 is 93.

Step 3: Convert Fractions to Equivalent Fractions

Convert 12731 to 38193
Convert 1533 to 474393

Step 4: Add the Numerators

Add the numerators: 381 + 4743 = 5124

Step 5: Simplify the Fraction

We can simplify 512493 to its lowest form.
The greatest common divisor (GCD) of 5124 and 93 is 3.
Dividing both numerator and denominator by the GCD, we get 170831.

Step 6: Convert to Mixed Number

The fraction 170831 can be written as the mixed number 55331.

Final Answer

The result of 127/31 added to 153/3 is:

12731+1533=55331

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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