154/99 added to 71/4 in Fraction Form

The result of 154/99 added to 71/4 is: 19 11/36

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 15499 and 714.

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 15499 to 616396
Convert 714 to 7029396

Step 4: Add the Numerators

Add the numerators: 616 + 7029 = 7645

Step 5: Simplify the Fraction

We can simplify 7645396 to its lowest form.
The greatest common divisor (GCD) of 7645 and 396 is 11.
Dividing both numerator and denominator by the GCD, we get 69536.

Step 6: Convert to Mixed Number

The fraction 69536 can be written as the mixed number 191136.

Final Answer

The result of 154/99 added to 71/4 is:

15499+714=191136

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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