42/99 added to 113/4 in Fraction Form

The result of 42/99 added to 113/4 is: 28 89/132

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 4299 and 1134.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 99 and 4 is 396.

Step 3: Convert Fractions to Equivalent Fractions

Convert 4299 to 168396
Convert 1134 to 11187396

Step 4: Add the Numerators

Add the numerators: 168 + 11187 = 11355

Step 5: Simplify the Fraction

We can simplify 11355396 to its lowest form.
The greatest common divisor (GCD) of 11355 and 396 is 3.
Dividing both numerator and denominator by the GCD, we get 3785132.

Step 6: Convert to Mixed Number

The fraction 3785132 can be written as the mixed number 2889132.

Final Answer

The result of 42/99 added to 113/4 is:

4299+1134=2889132

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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