15/47 added to 202/2 in Fraction Form

The result of 15/47 added to 202/2 is: 101 15/47

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1547 and 2022.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 47 and 2 is 94.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1547 to 3094
Convert 2022 to 949494

Step 4: Add the Numerators

Add the numerators: 30 + 9494 = 9524

Step 5: Simplify the Fraction

We can simplify 952494 to its lowest form.
The greatest common divisor (GCD) of 9524 and 94 is 2.
Dividing both numerator and denominator by the GCD, we get 476247.

Step 6: Convert to Mixed Number

The fraction 476247 can be written as the mixed number 1011547.

Final Answer

The result of 15/47 added to 202/2 is:

1547+2022=1011547

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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