14/177 added to 112/3 in Fraction Form

The result of 14/177 added to 112/3 is: 37 73/177

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions $\frac{1}{4} 177$ and $\frac{1}{1} 23$ .

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 177 and 3 is 177.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{1}{4} 177$ to $\frac{14}{1} 77$
Convert $\frac{1}{1} 23$ to $\frac{6608}{1} 77$

Step 4: Add the Numerators

Add the numerators: 14 + 6608 = 6622

Step 5: Convert to Mixed Number

The fraction $\frac{6}{6} 22177$ can be written as the mixed number $37 \frac{7}{3} 177$ .

Final Answer

The result of 14/177 added to 112/3 is:

\frac{14}{177} + \frac{112}{3} = 37 \frac{7}{3} 177

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).

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