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## Converting decimals to fractions 1 (ex 1)

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Let's see if we can write 0.15 as a fraction.
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So the important thing here is to look at
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what place these digits are in.
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So this 1 right over here, this is in the tenths place.
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So you could view that as 1 × 1/10.
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This 5 right over here is in the hundredths place.
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So you could view that as 5 × 1/100.
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So if I were to rewrite this,
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I can rewrite this as the sum of –
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this 1 represents 1 × 1/10,
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So that would literally be 1/10 – plus –
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And this 5 represents 5 × 1/100.
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So it would be plus 5/100.
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And if we want to add them up,
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if we want to find a common denominator –
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(The common denominator is 100.)
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Both 10 and –
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[100] is the least common multiple.
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[100] is a multiple of both 10 and 100.
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So we can rewrite this as something over 100 plus something over 100.
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This isn't going to change. This was already 5/100.
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If we multiply the denominator here by 10 –
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(That's what we did. We multiplied it by 10.)
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– then we're going to have to multiply this numerator by 10.
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And so this is the same thing as 10/100.
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And now we're ready to add.
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This is the same thing as 10 + 5, is 15/100.
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And you could have done that
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a little bit quicker just by inspecting this.
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You would say, "Look!
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My smallest place right over here is in the hundredths place."
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Instead of calling this 1/10, I could call this literally 10/100.
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Or, I could say this whole thing is 15 100ths.
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And now if I want to reduce this to lowest terms,
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we can – Let's see,
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Both the numerator and the denominator are divisible by 5.
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So let's divide them both by 5.
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And so the numerator, 15, divided by 5 is 3.
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The denominator, 100, divided by 5 is 20.
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And that's about as simplified as we can get.
Title:
Converting decimals to fractions 1 (ex 1)
Description:

Converting decimals to fractions 1 (ex 1)

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Video Language:
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Duration:
01:56
 Mike Ridgway edited английски език subtitles for Converting decimals to fractions 1 (ex 1) Mike Ridgway edited английски език subtitles for Converting decimals to fractions 1 (ex 1) Mike Ridgway edited английски език subtitles for Converting decimals to fractions 1 (ex 1) Mike Ridgway edited английски език subtitles for Converting decimals to fractions 1 (ex 1) Mike Ridgway edited английски език subtitles for Converting decimals to fractions 1 (ex 1) amyyan edited английски език subtitles for Converting decimals to fractions 1 (ex 1) NeNi Ratcliff added a translation

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