47/101 added to 118/4 in Fraction Form

The result of 47/101 added to 118/4 is: 29 195/202

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 47101 and 1184.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 101 and 4 is 404.

Step 3: Convert Fractions to Equivalent Fractions

Convert 47101 to 188404
Convert 1184 to 11918404

Step 4: Add the Numerators

Add the numerators: 188 + 11918 = 12106

Step 5: Simplify the Fraction

We can simplify 12106404 to its lowest form.
The greatest common divisor (GCD) of 12106 and 404 is 2.
Dividing both numerator and denominator by the GCD, we get 6053202.

Step 6: Convert to Mixed Number

The fraction 6053202 can be written as the mixed number 29195202.

Final Answer

The result of 47/101 added to 118/4 is:

47101+1184=29195202

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

Calculate operations between any two fractions: