20/148 added to 120/3 in Fraction Form

The result of 20/148 added to 120/3 is: 40 5/37

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions $\frac{2}{0} 148$ and $\frac{1}{2} 03$ .

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 148 and 3 is 444.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{2}{0} 148$ to $\frac{60}{4} 44$
Convert $\frac{1}{2} 03$ to $\frac{17760}{4} 44$

Step 4: Add the Numerators

Add the numerators: 60 + 17760 = 17820

Step 5: Simplify the Fraction

We can simplify $\frac{1}{7} 820444$ to its lowest form.
The greatest common divisor (GCD) of 17820 and 444 is 12.
Dividing both numerator and denominator by the GCD, we get $\frac{1}{4} 8537$ .

Step 6: Convert to Mixed Number

The fraction $\frac{1}{4} 8537$ can be written as the mixed number $40 \frac{5}{3} 7$ .

Final Answer

The result of 20/148 added to 120/3 is:

\frac{20}{148} + \frac{120}{3} = 40 \frac{5}{3} 7

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: