9/38 added to 10/2 in Fraction Form

The result of 9/38 added to 10/2 is: 5 9/38

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions \(\frac938\) and \(\frac102\).

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 38 and 2 is 38.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac938\) to \(\frac{9}38\)
Convert \(\frac102\) to \(\frac{190}38\)

Step 4: Add the Numerators

Add the numerators: 9 + 190 = 199

Step 5: Convert to Mixed Number

The fraction \(\frac19938\) can be written as the mixed number \(5\frac938\).

Final Answer

The result of 9/38 added to 10/2 is:

\[ \frac{9}{38} + \frac{10}{2} = 5\frac938 \]

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: