15/7 added to 225/3 in Fraction Form

The result of 15/7 added to 225/3 is: 77 1/7

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 157 and 2253.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 7 and 3 is 21.

Step 3: Convert Fractions to Equivalent Fractions

Convert 157 to 4521
Convert 2253 to 157521

Step 4: Add the Numerators

Add the numerators: 45 + 1575 = 1620

Step 5: Simplify the Fraction

We can simplify 162021 to its lowest form.
The greatest common divisor (GCD) of 1620 and 21 is 3.
Dividing both numerator and denominator by the GCD, we get 5407.

Step 6: Convert to Mixed Number

The fraction 5407 can be written as the mixed number 7717.

Final Answer

The result of 15/7 added to 225/3 is:

157+2253=7717

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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