157/13 added to 8/4 in Fraction Form

The result of 157/13 added to 8/4 is: 14 1/13

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 15713 and 84.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 13 and 4 is 52.

Step 3: Convert Fractions to Equivalent Fractions

Convert 15713 to 62852
Convert 84 to 10452

Step 4: Add the Numerators

Add the numerators: 628 + 104 = 732

Step 5: Simplify the Fraction

We can simplify 73252 to its lowest form.
The greatest common divisor (GCD) of 732 and 52 is 4.
Dividing both numerator and denominator by the GCD, we get 18313.

Step 6: Convert to Mixed Number

The fraction 18313 can be written as the mixed number 14113.

Final Answer

The result of 157/13 added to 8/4 is:

15713+84=14113

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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