141/99 added to 1/4 in Fraction Form

The result of 141/99 added to 1/4 is: 1 89/132

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 14199 and 14.

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 14199 to 564396
Convert 14 to 99396

Step 4: Add the Numerators

Add the numerators: 564 + 99 = 663

Step 5: Simplify the Fraction

We can simplify 663396 to its lowest form.
The greatest common divisor (GCD) of 663 and 396 is 3.
Dividing both numerator and denominator by the GCD, we get 221132.

Step 6: Convert to Mixed Number

The fraction 221132 can be written as the mixed number 189132.

Final Answer

The result of 141/99 added to 1/4 is:

14199+14=189132

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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