Convert 0.533333... to a fraction. (only the 3 is repeating) Please show the work!!

1 answer:

amm18123 years ago

6 0

<span>Let x = 0.5333333333 ...

So 100x = 53.3333333333 ...
and 10x = 5.3333333333 ...
---------------------------------
90x = 53 – 5 = 48.

So x = 48/90 = 8/15 after reduction to lowest terms (by factor of 6)
0.3333... = ⅓. and that 0.5 = ½.

So 0.533333... = 0.5 + 0.0333333...0.5 + 0.3333.../10 = 1/2 + (1/3)/10 = 1/2 + 1/30 = 16/30 = 8/15</span>

You might be interested in

PLEASE HELP ASAP!!! heres the screenshot... please answer with two senteces! srry it is sideways :(

MariettaO [177]

Answer:

jo mamma

Step-by-step explanation:

8 0

3 years ago

How many 5mm slices of bread can be cut from a loaf that is 30cm long?

levacccp [35]

Answer:

60 slices is the answer

300 mm (30 cm) / 5mm

= 60

Please mark as Brainliest! :)

6 0

2 years ago

Read 2 more answers

A certain statistic will be used as an unbiased estimator of a parameter. Let R represent the sampling distribution of the estim

7nadin3 [17]

Answer:

c. The expected values of R and S will be equal, and the variability of R will be greater than the variability of S.

Step-by-step explanation:

This is Central Limit Theorem concept in which independent variables are added and form a normal distribution. The random sample of n sample size is selected which calculates normally distributed mean and variance. The expected value of samples distributor will be higher than the sample distribution.

6 0

3 years ago

Evaluate the definite integral. 1/4 csc(2πt) cot(2πt) dt 1/12

Afina-wow [57]

Hey there, hope I can help!

$\frac{1}{4}\csc \left(2\pi t\right)\cot \left(2\pi t\right)dt\frac{1}{12}$

$\mathrm{Multiply\:fractions}: \:a\cdot \frac{b}{c}\cdot \frac{d}{e}=\frac{a\:\cdot \:b\:\cdot \:d}{c\:\cdot \:e} \ \textgreater \ \frac{1\cdot \:1\cdot \:dt}{4\cdot \:12}\csc \left(2\pi t\right)\cot \left(2\pi t\right)$

$\mathrm{Apply\:rule}\:1\cdot \:a=a \ \textgreater \ \frac{dt}{4\cdot \:12}\csc \left(2\pi t\right)\cot \left(2\pi t\right)$

$\mathrm{Multiply\:the\:numbers:}\:4\cdot \:12=48 \ \textgreater \ \frac{dt}{48}\csc \left(2\pi t\right)\cot \left(2\pi t\right)$

$\mathrm{Multiply\:fractions}: \:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c} \ \textgreater \ \frac{dt\csc \left(2\pi t\right)\cot \left(2\pi t\right)}{48}$

Hope this helps!

5 0

3 years ago

Andrea has 18 yards of fabric how many 4 inch pieces can she cut from her original piece

Nikolay [14]

Andrea can cut 4 1/2 (or 4.5) inch pieces from her original piece.

18/4 = 4.5

Hope this helps!

5 0

4 years ago