70/61 added to 24/3 in Fraction Form

The result of 70/61 added to 24/3 is: 9 9/61

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 7061 and 243.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 61 and 3 is 183.

Step 3: Convert Fractions to Equivalent Fractions

Convert 7061 to 210183
Convert 243 to 1464183

Step 4: Add the Numerators

Add the numerators: 210 + 1464 = 1674

Step 5: Simplify the Fraction

We can simplify 1674183 to its lowest form.
The greatest common divisor (GCD) of 1674 and 183 is 3.
Dividing both numerator and denominator by the GCD, we get 55861.

Step 6: Convert to Mixed Number

The fraction 55861 can be written as the mixed number 9961.

Final Answer

The result of 70/61 added to 24/3 is:

7061+243=9961

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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