67/115 multiplied by 7/4 in Fraction Form

The result of 67/115 multiplied by 7/4 is: 1 9/460

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions \(\frac67115\) and \(\frac74\).

Step 2: Multiply the Numerators

Multiply the numerators: 67 × 7 = 469

Step 3: Multiply the Denominators

Multiply the denominators: 115 × 4 = 460

Step 4: Convert to Mixed Number

The fraction \(\frac469460\) can be written as the mixed number \(1\frac9460\).

Final Answer

The result of 67/115 multiplied by 7/4 is:

\[ \frac{67}{115} \times \frac{7}{4} = 1\frac9460 \]

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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