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Mathematics 20 Online
OpenStudy (anonymous):

fractions couple questions

OpenStudy (anonymous):

write as decimal 4/5 1/2 (.50 i know that) 4 4/25 7 1/20 5/16 3/16

OpenStudy (unklerhaukus):

do you know 1/5 = 0.2 ? 4/5 = 4 * 0.2 =

OpenStudy (anonymous):

.8?

OpenStudy (unklerhaukus):

YEs!

OpenStudy (oaktree):

A far better way to understand where these values come from is by trying to make the denominator of the fractions a power of 10. For example, for 4/5, do the following:\[\frac{ 4 }{ 5 } = \frac{ 4 }{ 5 } * \frac{ 2 }{ 2 } = \frac{ 8 }{ 10 } = 0.8\]In this way you can find the decimal value of a fraction even when you don't know the decimal of the monic form. Makes sense?

OpenStudy (anonymous):

How do i find its times 2/2?

OpenStudy (unklerhaukus):

For the next one 4 4/25 can you express 4/25 as something/100 ?

OpenStudy (oaktree):

Since you want to make the 5 into 10, since 10 is a power of 10. 5*2=10, so we know we want 2/2.

OpenStudy (anonymous):

16/100? and ty

OpenStudy (unklerhaukus):

great. now 16/100 can be expressed as a decimal without too much difficulty 16/100 = 0.??

OpenStudy (anonymous):

.16?

OpenStudy (unklerhaukus):

cool. so you have 4 4/25 = 4 16/100 = 4 + 0.16 =

OpenStudy (anonymous):

4.16

OpenStudy (unklerhaukus):

That's right!, can you try 7 1/20 with the same technique: get the fraction to be something / 100

OpenStudy (anonymous):

7 5/100?

OpenStudy (anonymous):

@UnkleRhaukus

OpenStudy (unklerhaukus):

good, now can you make it into a decimal ?

OpenStudy (anonymous):

0.5 +7? 7.5?

OpenStudy (unklerhaukus):

now quite 5/10 is 0.5 5/100 is 0.05

OpenStudy (unklerhaukus):

notquite *

OpenStudy (anonymous):

7.05?

OpenStudy (unklerhaukus):

That's better

OpenStudy (unklerhaukus):

The last two questions might be easier with the first technique do you know what 1/16 is in decimal?

OpenStudy (unklerhaukus):

if not, do you know 1/8 in decimal ? or 1/4? if you know either of these, divide by two to get 1/16

OpenStudy (anonymous):

4/16?

OpenStudy (anonymous):

waiiiittt 4/100? im so confused

OpenStudy (unklerhaukus):

huh?

OpenStudy (unklerhaukus):

1/4 = 0.250 1/8 = 0.250/2 = 0.125 1/16 = 0.125/2 =

OpenStudy (anonymous):

0.0625?

OpenStudy (unklerhaukus):

yes 1/16 = 0.0625 so 5/16 = 5 * 0.0625 and 3/16 = 5 * 0.00625

OpenStudy (anonymous):

so what do i do now?

OpenStudy (unklerhaukus):

5/16 = 5 * 0.0625 = 5 * 0.0600 + 5 * 0.0020 + 5 * 0.0005

OpenStudy (anonymous):

is .3125 my answer?

OpenStudy (unklerhaukus):

Good stuff \[\checkmark \]

OpenStudy (unklerhaukus):

3/16 can be found the same way

OpenStudy (anonymous):

0.03125?

OpenStudy (unklerhaukus):

um, no. not 0.03125.

OpenStudy (anonymous):

oh .3125

OpenStudy (unklerhaukus):

3/16 = 3 * 0.0625 = 3 * 0.0600 + 3 * 0.0020 + 3 * 0.0005 = 0.1800 +0.0060 +0.0015

OpenStudy (anonymous):

.1875?

OpenStudy (anonymous):

is that right?

OpenStudy (unklerhaukus):

YES

OpenStudy (anonymous):

is that my answer?

OpenStudy (unklerhaukus):

it is.

OpenStudy (anonymous):

ty

OpenStudy (anonymous):

33/55?

OpenStudy (unklerhaukus):

for this one there is a common factor, can you spot it?

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