15/280 added to 13/4 in Fraction Form

The result of 15/280 added to 13/4 is: 3 17/56

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 15280 and 134.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 280 and 4 is 280.

Step 3: Convert Fractions to Equivalent Fractions

Convert 15280 to 15280
Convert 134 to 910280

Step 4: Add the Numerators

Add the numerators: 15 + 910 = 925

Step 5: Simplify the Fraction

We can simplify 925280 to its lowest form.
The greatest common divisor (GCD) of 925 and 280 is 5.
Dividing both numerator and denominator by the GCD, we get 18556.

Step 6: Convert to Mixed Number

The fraction 18556 can be written as the mixed number 31756.

Final Answer

The result of 15/280 added to 13/4 is:

15280+134=31756

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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