How do I determine if 7/16 is greater/less than 0.875?

Question

unklerhaukus · Answer

to compare them you might want to get them (or some approximation) to the same form,
[both as decimals for example]

are there any fractions (in sixteenthths) that you can write as a decimal number?

unklerhaukus · Answer

the fraction i was thinking of is 8/16,   can you convert that to a decimal?

amistre64 · Answer

i was thinking cross multiplication :)

7/16  ???  0.875

7  ???  0.875(16)

unklerhaukus · Answer

how is it possible to multiply 0.875 by 16?   @amistre64

amistre64 · Answer

$$\frac{7}{16}~:~\frac{.875}{1}$$
$$\cancel{16}\frac{7}{\cancel{16}}~:~16\frac{.875}{1}$$
$$7~:~16(.875)$$

amistre64 · Answer

since 50% of 16 = 8, is bigger than 7 ... then 87% of 16 is even bigger

unklerhaukus · Answer

but how can we simplify 6(.875) ?

amistre64 · Answer

it just mutliplication .... learned it in the 3rd grade :)

  .875
     16
------
  5250
  875
-------
14.000

amistre64 · Answer

maybe the 5th grade .... it was a long time ago for sure

amistre64 · Answer

$$\frac{7}{16}\lt\left[\frac{1}{2}=.500\right]<.875$$

anonymous · Answer

7/16=0.4375

unklerhaukus · Answer

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