The ratio of Noah to Ethan's savings is 3 : 7. The ratio of Ethan to Mason's savings is 7 : 8. Find the ratio of Noah to Mason's savings. (Please leave your answer in the simplest ratio.)
Question
The ratio of Noah to Ethan's savings is 3 : 7. The ratio of Ethan to Mason's savings is 7 : 8. Find the ratio of Noah to Mason's savings. (Please leave your answer in the simplest ratio.)
Solution
To find the ratio of Noah to Mason's savings, we need to multiply the two given ratios.
Step 1: Write down the given ratios. Noah : Ethan = 3 : 7 Ethan : Mason = 7 : 8
Step 2: Multiply the two ratios. To do this, multiply the Noah-to-Ethan ratio (3/7) by the Ethan-to-Mason ratio (7/8).
(3/7) * (7/8) = 21/56
Step 3: Simplify the ratio. The ratio 21/56 can be simplified by dividing both numbers by their greatest common divisor, which is 7.
21 ÷ 7 = 3 56 ÷ 7 = 8
So, the simplified ratio of Noah to Mason's savings is 3 : 8.
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