78/124 added to 101/2 in Fraction Form

The result of 78/124 added to 101/2 is: 51 4/31

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 78124 and 1012.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 124 and 2 is 124.

Step 3: Convert Fractions to Equivalent Fractions

Convert 78124 to 78124
Convert 1012 to 6262124

Step 4: Add the Numerators

Add the numerators: 78 + 6262 = 6340

Step 5: Simplify the Fraction

We can simplify 6340124 to its lowest form.
The greatest common divisor (GCD) of 6340 and 124 is 4.
Dividing both numerator and denominator by the GCD, we get 158531.

Step 6: Convert to Mixed Number

The fraction 158531 can be written as the mixed number 51431.

Final Answer

The result of 78/124 added to 101/2 is:

78124+1012=51431

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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