33/20 added to 27/8 in Fraction Form

The result of 33/20 added to 27/8 is: 5 1/40

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions \(\frac3320\) and \(\frac278\).

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 20 and 8 is 40.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac3320\) to \(\frac{66}40\)
Convert \(\frac278\) to \(\frac{135}40\)

Step 4: Add the Numerators

Add the numerators: 66 + 135 = 201

Step 5: Convert to Mixed Number

The fraction \(\frac20140\) can be written as the mixed number \(5\frac140\).

Final Answer

The result of 33/20 added to 27/8 is:

\[ \frac{33}{20} + \frac{27}{8} = 5\frac140 \]

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).

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