How do you calculate this:?

Question

1/0.1+1/0.022+1/0.01 = 1/0.0064.

Answer 1

piece of cake.

1/0.1=10
1/0.022=45.4545454...≈45.4545
1/0.01=100

100+45.4545+100=155.4545
1/155.4545=1.0064327...≈1.0064
155.4545=1/1.0064

Answer 2

First, simplify the terms, either by long division or by turning each into fractions. I'll use fractions:
1/0.1 = 1/(1/10). To divide a digit by a fraction, flip the fraction's numerator and denominator, then multiply the digit by the numerator, so you get (10 * 1) / 1, or 10
1/0.022 = 1 / (22/1000) = (1000 * 1) / 22 = 45 10/22 = 45 5/11
1/0.01 = 1/(1/100) = (100 * 1) /1 = 100
Now add the terms: 10 + 45 5/11 + 100 = 155 5/11
Convert to a complex fraction: 155 5/11 = 155 + 5/11 + (155 * 11) /11 + 5/11 = 1705 /11 + 5/11 = 1710/11.
Divide both the numerator and denominator by 1710: (1710/1710)/(11/1710) = 1 / (11/1710). Doing the long division for 11/1710 gives you a value of APPROXIMATELY 0.0064.

Answer 3

1/0.1 = 10

1/0.022 = 1000/22

1/0.01 = 100

10 + 1000/22 + 100 = 220/22 + 1000/22 + 2200/22 = 3420/22

3420/22 = 155.45 recurring

1/0.0064 = 156.25

Answer 4

1/0.1 = 10
1/0.022 = 45.5
1/0.01 =100
1/0.0064 = 156

Looks good.

Try looking for the inverse key (1/x) on your calculator.

Answer 5

1 / 0.1 = 10
1 / 0.22 =45.45454545
1 / 0.01 = 100
- - - - - - - - - -
155.5

1 / 0.0064 156.25

There is a difference. The do not equal.

- - - - - - - -s-

Answer 6

Use the common denominator 0.1 x 0.022 x 0.01 to make it one fraction. Then you have:

(0.1 x 0.022) + (0.1 x 0.01) + (0.022 x 0.01)
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(0.1 x 0.01 x 0.022)

Cancel as much as possible, then simplify. This boils down to the answer you are looking for.

Answer 7

The equation is wrong.