let's say you have 55/2...2 for instance... 55/2...2 = 55 / (22/10) = 55 * 10/22 = 550/22 = 50/2 = 25...
hope this helps...
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Denise say: 0.........2 is a decimal equivalent of 1/5......... so let's say you had...........................
30 / 0.........2
well, 30 / 0.........2 is the same as 30 / (1/5)......... when you divide by a real number, you are multiplying by its reciprocal, so for this example you would proceed:
30 / 0.........2 = 30 / (1/5) = 30 * 5 = 150.........
another way to do this is to just shift the decimal point one spot right in both the divisor (0.........2 becomes 2) and the dividend (30 becomes 300)......... there, all you have to deal with are whole numbers.........
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JG say: When you decide by decimals, you are actually dividing by powers of ten, more specifically, 10^(-1) which equals 1/10. The reciprocal of 10^(-1) is 10, since 1/10 * 10 = 10/10 = 1
For instance if you have 96/.3 this could be written as 96 / (3/10) = 96 * 10/3 = 960/3 = 320
If the decimal is the divisor and is less than one in a division problem, the quotient will be larger than the dividend.
Dividing a number by a decimal does not always produce a quotient larger than the dividend.
Let's say you have 55/2.2 for instance. 55/2.2 = 55 / (22/10) = 55 * 10/22 = 550/22 = 50/2 = 25.
Hope this helps.
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Angie say: let's look at the basics...
every non-zero number has a multiplicative inverse... the inverse of x is 1/x...
when you multiply a number by it's inverse, you get 1... x(1/x) = 1... that's the definition of the inverse...
dividing by a number is defined as multiplying by the inverse... that's why when you divide by a fraction, you multiply by the inverse of the fractions...
12 / (2/3) is just 12 x (3/2) = 18
now, 0...2 is 1/5, so dividing by 1/5 = multiplying by 5/1 = 5...
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