10/127 added to 174/3 in Fraction Form

The result of 10/127 added to 174/3 is: 58 10/127

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 10127 and 1743.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 127 and 3 is 381.

Step 3: Convert Fractions to Equivalent Fractions

Convert 10127 to 30381
Convert 1743 to 22098381

Step 4: Add the Numerators

Add the numerators: 30 + 22098 = 22128

Step 5: Simplify the Fraction

We can simplify 22128381 to its lowest form.
The greatest common divisor (GCD) of 22128 and 381 is 3.
Dividing both numerator and denominator by the GCD, we get 7376127.

Step 6: Convert to Mixed Number

The fraction 7376127 can be written as the mixed number 5810127.

Final Answer

The result of 10/127 added to 174/3 is:

10127+1743=5810127

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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