Question - Using Equivalent Ratios to Solve Division Problems
Solution:
The image contains a math problem that reads "Use equivalent ratios to solve 3,712 ÷ 64 = ? Explain what to do."To solve the division problem 3,712 ÷ 64 using equivalent ratios, you can follow these steps:Step 1: Set up the initial ratio as the division problem. This can be written as a fraction:\[ \frac{3,712}{64} \]Step 2: Simplify the ratio to a more manageable form by finding a common factor for both the numerator (3,712) and the denominator (64). Both 3,712 and 64 are divisible by 64. Let's divide the numerator and denominator by 64 to find an equivalent ratio:\[ \frac{3,712 \div 64}{64 \div 64} = \frac{58}{1} \]Step 3: The equivalent ratio shows that 3,712 ÷ 64 is the same as 58 ÷ 1, which equals 58.Therefore, 3,712 ÷ 64 equals 58.In summary, to use equivalent ratios to solve a division problem, you simplify the division by finding common factors until you reach a simpler equivalent ratio that is easy to evaluate.
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