17/4 added to 21/2 in Fraction Form

The result of 17/4 added to 21/2 is: 14 3/4

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions $\frac{1}{7} 4$ and $\frac{2}{1} 2$ .

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 4 and 2 is 4.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{1}{7} 4$ to $\frac{17}{4}$
Convert $\frac{2}{1} 2$ to $\frac{42}{4}$

Step 4: Add the Numerators

Add the numerators: 17 + 42 = 59

Step 5: Convert to Mixed Number

The fraction $\frac{5}{9} 4$ can be written as the mixed number $14 \frac{3}{4}$ .

Final Answer

The result of 17/4 added to 21/2 is:

\frac{17}{4} + \frac{21}{2} = 14 \frac{3}{4}

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: