8/70 multiplied by 83/2 in Fraction Form

The result of 8/70 multiplied by 83/2 is: 4 26/35

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 870 and 832.

Step 2: Multiply the Numerators

Multiply the numerators: 8 × 83 = 664

Step 3: Multiply the Denominators

Multiply the denominators: 70 × 2 = 140

Step 4: Simplify the Fraction

We can simplify 664140 to its lowest form.
The greatest common divisor (GCD) of 664 and 140 is 4.
Dividing both numerator and denominator by the GCD, we get 16635.

Step 5: Convert to Mixed Number

The fraction 16635 can be written as the mixed number 42635.

Final Answer

The result of 8/70 multiplied by 83/2 is:

870×832=42635

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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