21/47 added to 212/4 in Fraction Form

The result of 21/47 added to 212/4 is: 53 21/47

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2147 and 2124.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 47 and 4 is 188.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2147 to 84188
Convert 2124 to 9964188

Step 4: Add the Numerators

Add the numerators: 84 + 9964 = 10048

Step 5: Simplify the Fraction

We can simplify 10048188 to its lowest form.
The greatest common divisor (GCD) of 10048 and 188 is 4.
Dividing both numerator and denominator by the GCD, we get 251247.

Step 6: Convert to Mixed Number

The fraction 251247 can be written as the mixed number 532147.

Final Answer

The result of 21/47 added to 212/4 is:

2147+2124=532147

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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