153/64 added to 9/3 in Fraction Form

The result of 153/64 added to 9/3 is: 5 25/64

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 15364 and 93.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 64 and 3 is 192.

Step 3: Convert Fractions to Equivalent Fractions

Convert 15364 to 459192
Convert 93 to 576192

Step 4: Add the Numerators

Add the numerators: 459 + 576 = 1035

Step 5: Simplify the Fraction

We can simplify 1035192 to its lowest form.
The greatest common divisor (GCD) of 1035 and 192 is 3.
Dividing both numerator and denominator by the GCD, we get 34564.

Step 6: Convert to Mixed Number

The fraction 34564 can be written as the mixed number 52564.

Final Answer

The result of 153/64 added to 9/3 is:

15364+93=52564

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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