37/19 multiplied by 11/4 in Fraction Form

The result of 37/19 multiplied by 11/4 is: 5 27/76

Step-by-Step Solution

Step 1: Understand the Problem

We need to multiply the fractions \(\frac3719\) and \(\frac114\).

Step 2: Multiply the Numerators

Multiply the numerators: 37 × 11 = 407

Step 3: Multiply the Denominators

Multiply the denominators: 19 × 4 = 76

Step 4: Convert to Mixed Number

The fraction \(\frac40776\) can be written as the mixed number \(5\frac2776\).

Final Answer

The result of 37/19 multiplied by 11/4 is:

\[ \frac{37}{19} \times \frac{11}{4} = 5\frac2776 \]

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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