157/127 added to 36/3 in Fraction Form

The result of 157/127 added to 36/3 is: 13 30/127

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 157127 and 363.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 127 and 3 is 381.

Step 3: Convert Fractions to Equivalent Fractions

Convert 157127 to 471381
Convert 363 to 4572381

Step 4: Add the Numerators

Add the numerators: 471 + 4572 = 5043

Step 5: Simplify the Fraction

We can simplify 5043381 to its lowest form.
The greatest common divisor (GCD) of 5043 and 381 is 3.
Dividing both numerator and denominator by the GCD, we get 1681127.

Step 6: Convert to Mixed Number

The fraction 1681127 can be written as the mixed number 1330127.

Final Answer

The result of 157/127 added to 36/3 is:

157127+363=1330127

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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