78/25 added to 213/3 in Fraction Form

The result of 78/25 added to 213/3 is: 74 3/25

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 7825 and 2133.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 25 and 3 is 75.

Step 3: Convert Fractions to Equivalent Fractions

Convert 7825 to 23475
Convert 2133 to 532575

Step 4: Add the Numerators

Add the numerators: 234 + 5325 = 5559

Step 5: Simplify the Fraction

We can simplify 555975 to its lowest form.
The greatest common divisor (GCD) of 5559 and 75 is 3.
Dividing both numerator and denominator by the GCD, we get 185325.

Step 6: Convert to Mixed Number

The fraction 185325 can be written as the mixed number 74325.

Final Answer

The result of 78/25 added to 213/3 is:

7825+2133=74325

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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