45/21 added to 69/4 in Fraction Form

The result of 45/21 added to 69/4 is: 19 11/28

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions $\frac{4}{5} 21$ and $\frac{6}{9} 4$ .

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 21 and 4 is 84.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{4}{5} 21$ to $\frac{180}{8} 4$
Convert $\frac{6}{9} 4$ to $\frac{1449}{8} 4$

Step 4: Add the Numerators

Add the numerators: 180 + 1449 = 1629

Step 5: Simplify the Fraction

We can simplify $\frac{1}{6} 2984$ to its lowest form.
The greatest common divisor (GCD) of 1629 and 84 is 3.
Dividing both numerator and denominator by the GCD, we get $\frac{5}{4} 328$ .

Step 6: Convert to Mixed Number

The fraction $\frac{5}{4} 328$ can be written as the mixed number $19 \frac{1}{1} 28$ .

Final Answer

The result of 45/21 added to 69/4 is:

\frac{45}{21} + \frac{69}{4} = 19 \frac{1}{1} 28

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: