[tex]\frac{7}{9} \div \frac{35}{45}[/tex]
Answer (1)
Rewrite the division as multiplication by the reciprocal: 9 7 ÷ 45 35 = 9 7 × 35 45 .
Simplify the fractions: 35 7 = 5 1 and 9 45 = 5 .
Multiply the simplified fractions: 5 1 × 5 = 1 .
The final answer is 1 .
Explanation
Understanding the Problem We are given the expression 9 7 ÷ 45 35 and asked to evaluate it. This involves dividing one fraction by another.
Rewriting the Division To divide fractions, we multiply by the reciprocal of the second fraction. So, 9 7 ÷ 45 35 = 9 7 × 35 45 .
Simplifying Now we simplify the fractions before multiplying. We can rewrite the expression as 35 7 × 9 45 .
Further Simplification We simplify each fraction: 35 7 = 5 1 and 9 45 = 5 .
Multiplying Finally, we multiply the simplified fractions: 5 1 × 5 = 1 .
Final Answer Therefore, 9 7 ÷ 45 35 = 1 .
Examples
Understanding fraction division is crucial in many real-life scenarios. For instance, if you're baking and a recipe calls for 9 7 of a cup of flour, but you only have a scoop that measures 45 35 of a cup, you need to know how many scoops to use. In this case, 9 7 ÷ 45 35 = 1 , meaning one scoop is exactly the amount you need. This applies to scaling recipes, measuring ingredients, or dividing resources proportionally.
