15/177 added to 109/4 in Fraction Form

The result of 15/177 added to 109/4 is: 27 79/236

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 15177 and 1094.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 177 and 4 is 708.

Step 3: Convert Fractions to Equivalent Fractions

Convert 15177 to 60708
Convert 1094 to 19293708

Step 4: Add the Numerators

Add the numerators: 60 + 19293 = 19353

Step 5: Simplify the Fraction

We can simplify 19353708 to its lowest form.
The greatest common divisor (GCD) of 19353 and 708 is 3.
Dividing both numerator and denominator by the GCD, we get 6451236.

Step 6: Convert to Mixed Number

The fraction 6451236 can be written as the mixed number 2779236.

Final Answer

The result of 15/177 added to 109/4 is:

15177+1094=2779236

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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