49/21 added to 185/2 in Fraction Form

The result of 49/21 added to 185/2 is: 94 5/6

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions $\frac{4}{9} 21$ and $\frac{1}{8} 52$ .

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 21 and 2 is 42.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{4}{9} 21$ to $\frac{98}{4} 2$
Convert $\frac{1}{8} 52$ to $\frac{3885}{4} 2$

Step 4: Add the Numerators

Add the numerators: 98 + 3885 = 3983

Step 5: Simplify the Fraction

We can simplify $\frac{3}{9} 8342$ to its lowest form.
The greatest common divisor (GCD) of 3983 and 42 is 7.
Dividing both numerator and denominator by the GCD, we get $\frac{5}{6} 96$ .

Step 6: Convert to Mixed Number

The fraction $\frac{5}{6} 96$ can be written as the mixed number $94 \frac{5}{6}$ .

Final Answer

The result of 49/21 added to 185/2 is:

\frac{49}{21} + \frac{185}{2} = 94 \frac{5}{6}

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: