45/102 added to 133/4 in Fraction Form

The result of 45/102 added to 133/4 is: 33 47/68

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 45102 and 1334.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 102 and 4 is 204.

Step 3: Convert Fractions to Equivalent Fractions

Convert 45102 to 90204
Convert 1334 to 6783204

Step 4: Add the Numerators

Add the numerators: 90 + 6783 = 6873

Step 5: Simplify the Fraction

We can simplify 6873204 to its lowest form.
The greatest common divisor (GCD) of 6873 and 204 is 3.
Dividing both numerator and denominator by the GCD, we get 229168.

Step 6: Convert to Mixed Number

The fraction 229168 can be written as the mixed number 334768.

Final Answer

The result of 45/102 added to 133/4 is:

45102+1334=334768

Understanding Fraction Addition

How to Add Fractions

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

ab+cd=ad+bcbd (when denominators are different)

Or simply ab+cb=a+cb (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

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