69/171 added to 51/4 in Fraction Form

The result of 69/171 added to 51/4 is: 13 35/228

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 69171 and 514.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 171 and 4 is 684.

Step 3: Convert Fractions to Equivalent Fractions

Convert 69171 to 276684
Convert 514 to 8721684

Step 4: Add the Numerators

Add the numerators: 276 + 8721 = 8997

Step 5: Simplify the Fraction

We can simplify 8997684 to its lowest form.
The greatest common divisor (GCD) of 8997 and 684 is 3.
Dividing both numerator and denominator by the GCD, we get 2999228.

Step 6: Convert to Mixed Number

The fraction 2999228 can be written as the mixed number 1335228.

Final Answer

The result of 69/171 added to 51/4 is:

69171+514=1335228

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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