78/147 added to 99/4 in Fraction Form

The result of 78/147 added to 99/4 is: 25 55/196

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 78147 and 994.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 147 and 4 is 588.

Step 3: Convert Fractions to Equivalent Fractions

Convert 78147 to 312588
Convert 994 to 14553588

Step 4: Add the Numerators

Add the numerators: 312 + 14553 = 14865

Step 5: Simplify the Fraction

We can simplify 14865588 to its lowest form.
The greatest common divisor (GCD) of 14865 and 588 is 3.
Dividing both numerator and denominator by the GCD, we get 4955196.

Step 6: Convert to Mixed Number

The fraction 4955196 can be written as the mixed number 2555196.

Final Answer

The result of 78/147 added to 99/4 is:

78147+994=2555196

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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