78/148 multiplied by 102/2 in Fraction Form

The result of 78/148 multiplied by 102/2 is: 26 65/74

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 78148 and 1022.

Step 2: Multiply the Numerators

Multiply the numerators: 78 × 102 = 7956

Step 3: Multiply the Denominators

Multiply the denominators: 148 × 2 = 296

Step 4: Simplify the Fraction

We can simplify 7956296 to its lowest form.
The greatest common divisor (GCD) of 7956 and 296 is 4.
Dividing both numerator and denominator by the GCD, we get 198974.

Step 5: Convert to Mixed Number

The fraction 198974 can be written as the mixed number 266574.

Final Answer

The result of 78/148 multiplied by 102/2 is:

78148×1022=266574

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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