77/213 multiplied by 30/4 in Fraction Form

The result of 77/213 multiplied by 30/4 is: 2 101/142

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions \(\frac77213\) and \(\frac304\).

Step 2: Multiply the Numerators

Multiply the numerators: 77 × 30 = 2310

Step 3: Multiply the Denominators

Multiply the denominators: 213 × 4 = 852

Step 4: Simplify the Fraction

We can simplify \(\frac2310852\) to its lowest form.
The greatest common divisor (GCD) of 2310 and 852 is 6.
Dividing both numerator and denominator by the GCD, we get \(\frac385142\).

Step 5: Convert to Mixed Number

The fraction \(\frac385142\) can be written as the mixed number \(2\frac101142\).

Final Answer

The result of 77/213 multiplied by 30/4 is:

\[ \frac{77}{213} \times \frac{30}{4} = 2\frac101142 \]

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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