13/87 added to 291/3 in Fraction Form

The result of 13/87 added to 291/3 is: 97 13/87

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions \(\frac1387\) and \(\frac2913\).

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 87 and 3 is 87.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac1387\) to \(\frac{13}87\)
Convert \(\frac2913\) to \(\frac{8439}87\)

Step 4: Add the Numerators

Add the numerators: 13 + 8439 = 8452

Step 5: Convert to Mixed Number

The fraction \(\frac845287\) can be written as the mixed number \(97\frac1387\).

Final Answer

The result of 13/87 added to 291/3 is:

\[ \frac{13}{87} + \frac{291}{3} = 97\frac1387 \]

Understanding Fraction Addition

How to Add Fractions

To add fractions, you need to ensure they have a common denominator. Then add the numerators:

\( \frac{a}{b} + \frac{c}{d} = \frac{ad + bc}{bd} \) (when denominators are different)

Or simply \( \frac{a}{b} + \frac{c}{b} = \frac{a + c}{b} \) (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: