[tex]$\frac{8}{1} \div \frac{4}{5}$[/tex]
Answer (2)
Rewrite the division as multiplication by the reciprocal: 1 8 ÷ 5 4 = 1 8 × 4 5 .
Multiply the fractions: 1 8 × 4 5 = 1 × 4 8 × 5 = 4 40 .
Simplify the fraction: 4 40 = 10 .
The final answer is 10 .
Explanation
Understanding the Problem We are asked to evaluate the expression 1 8 ÷ 5 4 . This involves dividing one fraction by another.
Rewriting the Division To divide by a fraction, we multiply by its reciprocal. The reciprocal of 5 4 is 4 5 . Therefore, we can rewrite the expression as 1 8 × 4 5 .
Multiplying the Fractions Now, we multiply the fractions: 1 8 × 4 5 = 1 × 4 8 × 5 = 4 40 .
Simplifying the Fraction Finally, we simplify the fraction: 4 40 = 10 .
Final Answer Therefore, the result of the division is 10 .
Examples
Fractions are used in everyday life, such as when cooking, baking, or measuring ingredients. For example, if a recipe calls for 5 4 of a cup of flour, and you only want to make 2 1 of the recipe, you would need to calculate 2 1 × 5 4 to determine how much flour to use. Understanding how to divide fractions is also essential in various fields, including engineering, physics, and finance, where proportional relationships and ratios are frequently encountered.
To solve 1 8 ÷ 5 4 , we rewrite it as 1 8 × 4 5 , which simplifies to 10 . Thus, the final answer is 10 .
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