27/148 added to 237/2 in Fraction Form

The result of 27/148 added to 237/2 is: 118 101/148

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions \(\frac27148\) and \(\frac2372\).

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 148 and 2 is 148.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac27148\) to \(\frac{27}148\)
Convert \(\frac2372\) to \(\frac{17538}148\)

Step 4: Add the Numerators

Add the numerators: 27 + 17538 = 17565

Step 5: Convert to Mixed Number

The fraction \(\frac17565148\) can be written as the mixed number \(118\frac101148\).

Final Answer

The result of 27/148 added to 237/2 is:

\[ \frac{27}{148} + \frac{237}{2} = 118\frac101148 \]

Understanding Fraction Addition

How to Add Fractions

To add fractions, you need to ensure they have a common denominator. Then add the numerators:

\( \frac{a}{b} + \frac{c}{d} = \frac{ad + bc}{bd} \) (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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