33/136 added to 3/4 in Fraction Form

The result of 33/136 added to 3/4 is: 135/136

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions \(\frac33136\) and \(\frac34\).

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 136 and 4 is 136.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac33136\) to \(\frac{33}136\)
Convert \(\frac34\) to \(\frac{102}136\)

Step 4: Add the Numerators

Add the numerators: 33 + 102 = 135

Final Answer

The result of 33/136 added to 3/4 is:

\[ \frac{33}{136} + \frac{3}{4} = \frac135136 \]

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).

Fraction Calculator

Calculate operations between any two fractions: