127/25 added to 156/3 in Fraction Form

The result of 127/25 added to 156/3 is: 57 2/25

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 12725 and 1563.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 25 and 3 is 75.

Step 3: Convert Fractions to Equivalent Fractions

Convert 12725 to 38175
Convert 1563 to 390075

Step 4: Add the Numerators

Add the numerators: 381 + 3900 = 4281

Step 5: Simplify the Fraction

We can simplify 428175 to its lowest form.
The greatest common divisor (GCD) of 4281 and 75 is 3.
Dividing both numerator and denominator by the GCD, we get 142725.

Step 6: Convert to Mixed Number

The fraction 142725 can be written as the mixed number 57225.

Final Answer

The result of 127/25 added to 156/3 is:

12725+1563=57225

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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