21/279 added to 15/4 in Fraction Form

The result of 21/279 added to 15/4 is: 3 307/372

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 21279 and 154.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 279 and 4 is 1116.

Step 3: Convert Fractions to Equivalent Fractions

Convert 21279 to 841116
Convert 154 to 41851116

Step 4: Add the Numerators

Add the numerators: 84 + 4185 = 4269

Step 5: Simplify the Fraction

We can simplify 42691116 to its lowest form.
The greatest common divisor (GCD) of 4269 and 1116 is 3.
Dividing both numerator and denominator by the GCD, we get 1423372.

Step 6: Convert to Mixed Number

The fraction 1423372 can be written as the mixed number 3307372.

Final Answer

The result of 21/279 added to 15/4 is:

21279+154=3307372

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

Calculate operations between any two fractions: