31/270 added to 12/4 in Fraction Form

The result of 31/270 added to 12/4 is: 3 31/270

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 31270 and 124.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 270 and 4 is 540.

Step 3: Convert Fractions to Equivalent Fractions

Convert 31270 to 62540
Convert 124 to 1620540

Step 4: Add the Numerators

Add the numerators: 62 + 1620 = 1682

Step 5: Simplify the Fraction

We can simplify 1682540 to its lowest form.
The greatest common divisor (GCD) of 1682 and 540 is 2.
Dividing both numerator and denominator by the GCD, we get 841270.

Step 6: Convert to Mixed Number

The fraction 841270 can be written as the mixed number 331270.

Final Answer

The result of 31/270 added to 12/4 is:

31270+124=331270

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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