48/153 added to 118/4 in Fraction Form

The result of 48/153 added to 118/4 is: 29 83/102

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions $\frac{4}{8} 153$ and $\frac{1}{1} 84$ .

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 153 and 4 is 612.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{4}{8} 153$ to $\frac{192}{6} 12$
Convert $\frac{1}{1} 84$ to $\frac{18054}{6} 12$

Step 4: Add the Numerators

Add the numerators: 192 + 18054 = 18246

Step 5: Simplify the Fraction

We can simplify $\frac{1}{8} 246612$ to its lowest form.
The greatest common divisor (GCD) of 18246 and 612 is 6.
Dividing both numerator and denominator by the GCD, we get $\frac{3}{0} 41102$ .

Step 6: Convert to Mixed Number

The fraction $\frac{3}{0} 41102$ can be written as the mixed number $29 \frac{8}{3} 102$ .

Final Answer

The result of 48/153 added to 118/4 is:

\frac{48}{153} + \frac{118}{4} = 29 \frac{8}{3} 102

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: