126/112 added to 101/2 in Fraction Form

The result of 126/112 added to 101/2 is: 51 5/8

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 126112 and 1012.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 112 and 2 is 112.

Step 3: Convert Fractions to Equivalent Fractions

Convert 126112 to 126112
Convert 1012 to 5656112

Step 4: Add the Numerators

Add the numerators: 126 + 5656 = 5782

Step 5: Simplify the Fraction

We can simplify 5782112 to its lowest form.
The greatest common divisor (GCD) of 5782 and 112 is 14.
Dividing both numerator and denominator by the GCD, we get 4138.

Step 6: Convert to Mixed Number

The fraction 4138 can be written as the mixed number 5158.

Final Answer

The result of 126/112 added to 101/2 is:

126112+1012=5158

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).

Fraction Calculator

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