Guillermo May

2023-03-03

Find fractional notation for the ratio 1.6 to 9.8

popescy91

Placing the first term over the second yields the "technically correct" response right away: $\frac{1.6}{9.8}$. However, this is not a desired fraction.
We may multiply the top and bottom by 10 to remove the decimals. This moves our fraction's decimal point one to the right without altering its value, which is $\frac{16}{98}$.
We now have a correct fraction, but it has not been completely lowered. You must get the top and bottom to share a common denominator of exactly one in order to completely decrease a fraction. In other words, there shouldn't be an integer bigger than 1 that splits the top and bottom equally when entirely reduced.
We divide the top and bottom by 2 to get $\frac{8}{49}$ since we can see that 16 and 98 are divisible by 2. This is our concluding response since it cannot be lowered any more.

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