[Clean the question above and then proceed with classification]
$11 / 2 \div 33 / 5=$
Answer (2)
To solve 11/2 ÷ 33/5 , we rewrite it as 11/2 × 5/33 , which simplifies to 5/6 after multiplying and reducing the fraction. The answer is 5/6 .
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Rewrite the division as multiplication by the reciprocal: 11/2 ÷ 33/5 = 11/2 × 5/33 .
Multiply the numerators and denominators: ( 11 × 5 ) / ( 2 × 33 ) = 55/66 .
Simplify the fraction by canceling the common factor 11: 55/66 = 5/6 .
The final answer is 5/6 .
Explanation
Understanding the Problem We are asked to evaluate the expression 11/2 ÷ 33/5 . This involves dividing one fraction by another.
Rewriting the Division To divide fractions, we multiply by the reciprocal of the second fraction. That is, a / b ÷ c / d = a / b × d / c . So, we have
11/2 ÷ 33/5 = 11/2 × 5/33
Multiplying Fractions Now, we multiply the numerators and the denominators:
11/2 × 5/33 = ( 11 × 5 ) / ( 2 × 33 ) = 55/66
Simplifying the Fraction Next, we simplify the fraction by canceling common factors. Both the numerator and the denominator are divisible by 11:
55/66 = ( 5 × 11 ) / ( 6 × 11 ) = 5/6
Final Result Therefore, 11/2 ÷ 33/5 = 5/6 .
Examples
Understanding fraction division is essential in many real-life scenarios, such as scaling recipes. For instance, if a recipe calls for 3/4 cup of flour and you only want to make half the recipe, you would calculate ( 3/4 ) ÷ 2 = ( 3/4 ) × ( 1/2 ) = 3/8 cup of flour. This skill is also useful in construction, where dividing measurements is common, and in finance, when calculating proportional shares or ratios.
