Divide. Write your answer in simplest form. [tex]$\frac{5}{6} \div 4$[/tex]
Answer (2)
Rewrite the division as multiplication: 6 5 ÷ 4 = 6 5 × 4 1 .
Multiply the numerators and denominators: 6 × 4 5 × 1 = 24 5 .
Simplify the resulting fraction (if needed).
The final answer is: 24 5 .
Explanation
Understanding the problem We are asked to divide the fraction 6 5 by the whole number 4 and express the answer in simplest form.
Rewriting the division as multiplication To divide a fraction by a whole number, we can rewrite the division as a multiplication. Dividing by 4 is the same as multiplying by 4 1 . So, we have: 6 5 ÷ 4 = 6 5 × 4 1
Multiplying the fractions Now, we multiply the numerators and the denominators: 6 5 × 4 1 = 6 × 4 5 × 1 = 24 5
Simplifying the fraction The fraction 24 5 is in its simplest form because 5 is a prime number and does not divide 24.
Final Answer Therefore, the result of dividing 6 5 by 4 is 24 5 .
Examples
Imagine you are baking a cake and the recipe calls for 6 5 of a cup of flour. However, you only want to make 4 1 of the cake. To find out how much flour you need, you would divide 6 5 by 4, which gives you 24 5 of a cup. This shows how dividing fractions can be useful in everyday situations like cooking or measuring ingredients.
When dividing 6 5 by 4, we rewrite it as 6 5 × 4 1 and multiply the fractions to get 24 5 . This fraction is already in its simplest form. Thus, the final answer is 24 5 .
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