47/45 added to 213/4 in Fraction Form

The result of 47/45 added to 213/4 is: 54 53/180

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 4745 and 2134.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 45 and 4 is 180.

Step 3: Convert Fractions to Equivalent Fractions

Convert 4745 to 188180
Convert 2134 to 9585180

Step 4: Add the Numerators

Add the numerators: 188 + 9585 = 9773

Step 5: Convert to Mixed Number

The fraction 9773180 can be written as the mixed number 5453180.

Final Answer

The result of 47/45 added to 213/4 is:

4745+2134=5453180

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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