146/21 multiplied by 101/4 in Fraction Form

The result of 146/21 multiplied by 101/4 is: 175 23/42

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions 14621 and 1014.

Step 2: Multiply the Numerators

Multiply the numerators: 146 × 101 = 14746

Step 3: Multiply the Denominators

Multiply the denominators: 21 × 4 = 84

Step 4: Simplify the Fraction

We can simplify 1474684 to its lowest form.
The greatest common divisor (GCD) of 14746 and 84 is 2.
Dividing both numerator and denominator by the GCD, we get 737342.

Step 5: Convert to Mixed Number

The fraction 737342 can be written as the mixed number 1752342.

Final Answer

The result of 146/21 multiplied by 101/4 is:

14621×1014=1752342

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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