47/127 added to 118/4 in Fraction Form

The result of 47/127 added to 118/4 is: 29 221/254

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 47127 and 1184.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 127 and 4 is 508.

Step 3: Convert Fractions to Equivalent Fractions

Convert 47127 to 188508
Convert 1184 to 14986508

Step 4: Add the Numerators

Add the numerators: 188 + 14986 = 15174

Step 5: Simplify the Fraction

We can simplify 15174508 to its lowest form.
The greatest common divisor (GCD) of 15174 and 508 is 2.
Dividing both numerator and denominator by the GCD, we get 7587254.

Step 6: Convert to Mixed Number

The fraction 7587254 can be written as the mixed number 29221254.

Final Answer

The result of 47/127 added to 118/4 is:

47127+1184=29221254

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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