10/74 multiplied by 67/4 in Fraction Form

The result of 10/74 multiplied by 67/4 is: 2 39/148

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 1074 and 674.

Step 2: Multiply the Numerators

Multiply the numerators: 10 × 67 = 670

Step 3: Multiply the Denominators

Multiply the denominators: 74 × 4 = 296

Step 4: Simplify the Fraction

We can simplify 670296 to its lowest form.
The greatest common divisor (GCD) of 670 and 296 is 2.
Dividing both numerator and denominator by the GCD, we get 335148.

Step 5: Convert to Mixed Number

The fraction 335148 can be written as the mixed number 239148.

Final Answer

The result of 10/74 multiplied by 67/4 is:

1074×674=239148

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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