233/15 multiplied by 188/3 in Fraction Form

The result of 233/15 multiplied by 188/3 is: 973 19/45

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions \(\frac23315\) and \(\frac1883\).

Step 2: Multiply the Numerators

Multiply the numerators: 233 × 188 = 43804

Step 3: Multiply the Denominators

Multiply the denominators: 15 × 3 = 45

Step 4: Convert to Mixed Number

The fraction \(\frac4380445\) can be written as the mixed number \(973\frac1945\).

Final Answer

The result of 233/15 multiplied by 188/3 is:

\[ \frac{233}{15} \times \frac{188}{3} = 973\frac1945 \]

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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