21/182 added to 30/4 in Fraction Form

The result of 21/182 added to 30/4 is: 7 8/13

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions $\frac{2}{1} 182$ and $\frac{3}{0} 4$ .

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 182 and 4 is 364.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{2}{1} 182$ to $\frac{42}{3} 64$
Convert $\frac{3}{0} 4$ to $\frac{2730}{3} 64$

Step 4: Add the Numerators

Add the numerators: 42 + 2730 = 2772

Step 5: Simplify the Fraction

We can simplify $\frac{2}{7} 72364$ to its lowest form.
The greatest common divisor (GCD) of 2772 and 364 is 28.
Dividing both numerator and denominator by the GCD, we get $\frac{9}{9} 13$ .

Step 6: Convert to Mixed Number

The fraction $\frac{9}{9} 13$ can be written as the mixed number $7 \frac{8}{1} 3$ .

Final Answer

The result of 21/182 added to 30/4 is:

\frac{21}{182} + \frac{30}{4} = 7 \frac{8}{1} 3

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: