45/7 added to 24/3 in Fraction Form

The result of 45/7 added to 24/3 is: 14 3/7

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 457 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 457 to 13521
Convert 243 to 16821

Step 4: Add the Numerators

Add the numerators: 135 + 168 = 303

Step 5: Simplify the Fraction

We can simplify 30321 to its lowest form.
The greatest common divisor (GCD) of 303 and 21 is 3.
Dividing both numerator and denominator by the GCD, we get 1017.

Step 6: Convert to Mixed Number

The fraction 1017 can be written as the mixed number 1437.

Final Answer

The result of 45/7 added to 24/3 is:

457+243=1437

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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