49/5 added to 42/3 in Fraction Form

The result of 49/5 added to 42/3 is: 23 4/5

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 495 and 423.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 5 and 3 is 15.

Step 3: Convert Fractions to Equivalent Fractions

Convert 495 to 14715
Convert 423 to 21015

Step 4: Add the Numerators

Add the numerators: 147 + 210 = 357

Step 5: Simplify the Fraction

We can simplify 35715 to its lowest form.
The greatest common divisor (GCD) of 357 and 15 is 3.
Dividing both numerator and denominator by the GCD, we get 1195.

Step 6: Convert to Mixed Number

The fraction 1195 can be written as the mixed number 2345.

Final Answer

The result of 49/5 added to 42/3 is:

495+423=2345

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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