20/32 added to 173/4 in Fraction Form

The result of 20/32 added to 173/4 is: 43 7/8

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions $\frac{2}{0} 32$ and $\frac{1}{7} 34$ .

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 32 and 4 is 32.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{2}{0} 32$ to $\frac{20}{3} 2$
Convert $\frac{1}{7} 34$ to $\frac{1384}{3} 2$

Step 4: Add the Numerators

Add the numerators: 20 + 1384 = 1404

Step 5: Simplify the Fraction

We can simplify $\frac{1}{4} 0432$ to its lowest form.
The greatest common divisor (GCD) of 1404 and 32 is 4.
Dividing both numerator and denominator by the GCD, we get $\frac{3}{5} 18$ .

Step 6: Convert to Mixed Number

The fraction $\frac{3}{5} 18$ can be written as the mixed number $43 \frac{7}{8}$ .

Final Answer

The result of 20/32 added to 173/4 is:

\frac{20}{32} + \frac{173}{4} = 43 \frac{7}{8}

Understanding Fraction Addition

How to Add Fractions

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

$\frac{a}{b} + \frac{c}{d} = \frac{a d + b c}{b d}$ (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: