How would you change the equation below to get double the answer? 4 1/3 x 6 = 26
Understand the Problem
The question is asking how to change an equation involving multiplication so that the result is double the current answer. It provides an example equation that needs to be modified accordingly.
Answer
Modify the equation to \( 4 \frac{1}{3} \times 12 = 52 \).
Answer for screen readers
The modified equation to get double the answer is ( 4 \frac{1}{3} \times 12 = 52 ).
Steps to Solve
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Understanding the existing equation The given equation is ( 4 \frac{1}{3} \times 6 = 26 ). To find double the result, we need to calculate what that new result would be.
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Calculating double the current answer To find double of 26, we compute: $$ 2 \times 26 = 52 $$
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Revising the multiplication to achieve the new result We need to adjust ( 4 \frac{1}{3} \times 6 ) to equal 52. First, we convert ( 4 \frac{1}{3} ) into an improper fraction: $$ 4 \frac{1}{3} = \frac{13}{3} $$
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Creating the new equation We now set up the equation: $$ \frac{13}{3} \times x = 52 $$ To find ( x ), we solve for ( x ): $$ x = \frac{52}{\frac{13}{3}} = 52 \times \frac{3}{13} = 12 $$
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Final expression We can thus rewrite the original equation to get double the answer: $$ 4 \frac{1}{3} \times 12 = 52 $$
The modified equation to get double the answer is ( 4 \frac{1}{3} \times 12 = 52 ).
More Information
When you multiply ( 4 \frac{1}{3} ) by 12 instead of 6, you achieve double the original result of 26, which is 52. This demonstrates how adjusting one factor in multiplication can change the outcome.
Tips
- Miscalculating the conversion from mixed number to improper fraction. Ensure you multiply the whole number by the denominator and add the numerator.
- Forgetting to properly set up the equation to solve for the new multiplier after recalculating the desired total.
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