42/10 multiplied by 17/3 in Fraction Form

The result of 42/10 multiplied by 17/3 is: 23 4/5

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 4210 and 173.

Step 2: Multiply the Numerators

Multiply the numerators: 42 × 17 = 714

Step 3: Multiply the Denominators

Multiply the denominators: 10 × 3 = 30

Step 4: Simplify the Fraction

We can simplify 71430 to its lowest form.
The greatest common divisor (GCD) of 714 and 30 is 6.
Dividing both numerator and denominator by the GCD, we get 1195.

Step 5: Convert to Mixed Number

The fraction 1195 can be written as the mixed number 2345.

Final Answer

The result of 42/10 multiplied by 17/3 is:

4210×173=2345

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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