40/73 added to 3/2 in Fraction Form

The result of 40/73 added to 3/2 is: 2 7/146

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions \(\frac4073\) and \(\frac32\).

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 73 and 2 is 146.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac4073\) to \(\frac{80}146\)
Convert \(\frac32\) to \(\frac{219}146\)

Step 4: Add the Numerators

Add the numerators: 80 + 219 = 299

Step 5: Convert to Mixed Number

The fraction \(\frac299146\) can be written as the mixed number \(2\frac7146\).

Final Answer

The result of 40/73 added to 3/2 is:

\[ \frac{40}{73} + \frac{3}{2} = 2\frac7146 \]

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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