How to make 2.1 into a fraction?

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How to make 2.1 into a fraction?

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Answer 1 · 2018-03-21T22:26:44

$\frac{21}{10}$ $21/10$

Explanation:

Any constant in the tenths place (the first value after the decimal) can be put over $10 :$ $10:$

$2.1$ $2.1$

$2 and .1$ $2 and .1$ $Separate terms$ $color(blue)("Separate terms")$

$2 and \frac{1}{10}$ $2 and 1/10$ $.1 is read as 'one tenth' = \frac{1}{10}$ $color(blue)( .1 " is read as 'one tenth'"=1/10)$

$2 (\frac{1}{10})$ $2(1/10)$ $Now we have a mixed fraction$ $color(blue)("Now we have a mixed fraction")$

To simplify this further, we would turn it into an improper fraction (where the numerator > denominator). Consider this explanation of a mixed fraction:

$a (\frac{b}{c})$ $color(red)(a)(color(blue)(b)/color(purple)(c))$

To turn a mixed fraction into an improper fraction, there are 2 steps:

Multiply $c \cdot a$ $color(purple)(c)*color(red)(a)$
Add the product of $(c \cdot a) + b$ $(color(purple)(c)*color(red)(a)) +color(blue)(b)$
Leave the denominator as $c$ $color(purple)(c)$

So, now that we know how to turn a mixed fraction into an improper fraction, let's try it:

$2 (\frac{1}{10})$ $color(red)(2)(color(blue)(1)/color(purple)(10))$

$20 (\frac{1}{10})$ $color(red)(20)(color(blue)(1)/color(purple)(10))$ $10 \cdot 2 = 20$ $color(blue)(10*2=20)$

$\frac{21}{10}$ $color(red)21/color(purple)(10)$ $20 + 1 = 21$ $color(blue)(20+1=21)$

$\frac{21}{20}$ $21/20$

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How to make 2.1 into a fraction?

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