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tatyana61 [14]
3 years ago
6

Write the recurring decimal 0.123 as a fraction in its simplest form

Mathematics
1 answer:
Law Incorporation [45]3 years ago
5 0

Let x = 0.123123123...

Then 1000x = 123.123123123...

So we have

1000x - x = 999x = 123

or

x = 123/999 = 41/333

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What is 246 : 7 in long division​
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Here we will show you step-by-step with detailed explanation how to calculate 246 divided by 7 using long division.

Before you continue, note that in the problem 246 divided by 7, the numbers are defined as follows:

246 = dividend

7 = divisor

Step 1:

Start by setting it up with the divisor 7 on the left side and the dividend 246 on the right side like this:

7 ⟌ 2 4 6

Step 2:

The divisor (7) goes into the first digit of the dividend (2), 0 time(s). Therefore, put 0 on top:

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Step 3:

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Step 4:

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Step 5:

Move down the 2nd digit of the dividend (4) like this:

0

7 ⟌ 2 4 6

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2 4

Step 6:

The divisor (7) goes into the bottom number (24), 3 time(s). Therefore, put 3 on top:

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Step 7:

Multiply the divisor by the result in the previous step (7 x 3 = 21) and write that answer at the bottom:

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Step 8:

Subtract the result in the previous step from the number written above it. (24 - 21 = 3) and write the answer at the bottom.

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Step 9:

Move down the last digit of the dividend (6) like this:

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Step 10:

The divisor (7) goes into the bottom number (36), 5 time(s). Therefore put 5 on top:

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7 ⟌ 2 4 6

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Step 11:

Multiply the divisor by the result in the previous step (7 x 5 = 35) and write the answer at the bottom:

0 3 5

7 ⟌ 2 4 6

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Step 12:

Subtract the result in the previous step from the number written above it. (36 - 35 = 1) and write the answer at the bottom.

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1 Remainder

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