49/7 added to 24/3 in Fraction Form

The result of 49/7 added to 24/3 is: 15

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 497 and 243.

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 497 to 14721
Convert 243 to 16821

Step 4: Add the Numerators

Add the numerators: 147 + 168 = 315

Step 5: Simplify the Fraction

We can simplify 31521 to its lowest form.
The greatest common divisor (GCD) of 315 and 21 is 21.
Dividing both numerator and denominator by the GCD, we get 151.

Final Answer

The result of 49/7 added to 24/3 is:

497+243=15

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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