78/99 added to 151/4 in Fraction Form

The result of 78/99 added to 151/4 is: 38 71/132

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 7899 and 1514.

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 7899 to 312396
Convert 1514 to 14949396

Step 4: Add the Numerators

Add the numerators: 312 + 14949 = 15261

Step 5: Simplify the Fraction

We can simplify 15261396 to its lowest form.
The greatest common divisor (GCD) of 15261 and 396 is 3.
Dividing both numerator and denominator by the GCD, we get 5087132.

Step 6: Convert to Mixed Number

The fraction 5087132 can be written as the mixed number 3871132.

Final Answer

The result of 78/99 added to 151/4 is:

7899+1514=3871132

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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