101/2 multiplied by 140/3 in Fraction Form

The result of 101/2 multiplied by 140/3 is: 2356 2/3

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions \(\frac1012\) and \(\frac1403\).

Step 2: Multiply the Numerators

Multiply the numerators: 101 × 140 = 14140

Step 3: Multiply the Denominators

Multiply the denominators: 2 × 3 = 6

Step 4: Simplify the Fraction

We can simplify \(\frac141406\) to its lowest form.
The greatest common divisor (GCD) of 14140 and 6 is 2.
Dividing both numerator and denominator by the GCD, we get \(\frac70703\).

Step 5: Convert to Mixed Number

The fraction \(\frac70703\) can be written as the mixed number \(2356\frac23\).

Final Answer

The result of 101/2 multiplied by 140/3 is:

\[ \frac{101}{2} \times \frac{140}{3} = 2356\frac23 \]

Understanding Fraction Multiplication

How to Multiply Fractions

To multiply fractions, you multiply the numerators together and the denominators together:

\( \frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d} \)

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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