135/153 added to 9/4 in Fraction Form

The result of 135/153 added to 9/4 is: 3 9/68

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 135153 and 94.

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 135153 to 540612
Convert 94 to 1377612

Step 4: Add the Numerators

Add the numerators: 540 + 1377 = 1917

Step 5: Simplify the Fraction

We can simplify 1917612 to its lowest form.
The greatest common divisor (GCD) of 1917 and 612 is 9.
Dividing both numerator and denominator by the GCD, we get 21368.

Step 6: Convert to Mixed Number

The fraction 21368 can be written as the mixed number 3968.

Final Answer

The result of 135/153 added to 9/4 is:

135153+94=3968

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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