How do you change 18.375 into a fraction?

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Answer 1 · 2015-10-29T22:39:20

Multiply by $2$ three times, then deduce:

$18.375 = 147/8$

The quickest way is just to multiply it by $1000$ to find:

$18.375 = 18375/1000$

but this is not in lowest terms.

Alternatively, work step by step as follows:

$18.375$ ends with a $5$ , so try multiplying by $2$ ...

$18.375 xx 2 = 36.75$

$36.75$ ends with a $5$ , so try multiplying by $2$ ...

$36.75 xx 2 = 73.5$

$73.5$ ends with a $5$ , so multiply by $2$ ...

$73.5 xx 2 = 147$

Then since we multiplied by $2$ three times, divide by $2$ three times to find:

$18.375 = 147/(2 xx 2 xx 2) = 147/8$