233/19 divided by 11/4 in Fraction Form

The result of 233/19 divided by 11/4 is: 4 96/209

Step-by-Step Solution

Step 1: Understand the Problem

We need to divide the fraction \(\frac23319\) by \(\frac114\).

Step 2: Use the Division Rule

To divide fractions, we multiply by the reciprocal of the second fraction:
\(\frac23319 \div \frac114 = \frac23319 \times \frac411\)

Step 3: Multiply the Fractions

Multiply the numerators: 233 × 4 = 932
Multiply the denominators: 19 × 11 = 209

Step 4: Convert to Mixed Number

The fraction \(\frac932209\) can be written as the mixed number \(4\frac96209\).

Final Answer

The result of 233/19 divided by 11/4 is:

\[ \frac{233}{19} \div \frac{11}{4} = 4\frac96209 \]

Understanding Fraction Division

How to Divide Fractions

To divide fractions, you multiply by the reciprocal of the divisor:

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

This technique is often remembered as "keep, change, flip" - keep the first fraction, change division to multiplication, and flip the second fraction.

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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