69/228 multiplied by 17/2 in Fraction Form

The result of 69/228 multiplied by 17/2 is: 2 87/152

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 69228 and 172.

Step 2: Multiply the Numerators

Multiply the numerators: 69 × 17 = 1173

Step 3: Multiply the Denominators

Multiply the denominators: 228 × 2 = 456

Step 4: Simplify the Fraction

We can simplify 1173456 to its lowest form.
The greatest common divisor (GCD) of 1173 and 456 is 3.
Dividing both numerator and denominator by the GCD, we get 391152.

Step 5: Convert to Mixed Number

The fraction 391152 can be written as the mixed number 287152.

Final Answer

The result of 69/228 multiplied by 17/2 is:

69228×172=287152

Understanding Fraction Multiplication

How to Multiply Fractions

To multiply fractions, you multiply the numerators together and the denominators together:

ab×cd=a×cb×d

After multiplying, it's always good practice to simplify the fraction to its lowest form.

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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