Why wouldn’t you use a division to find an equivalent fraction for 7/15

1 answer:

wel3 years ago

4 0

To simplify a fraction by division you must have common factors between the denominator and the neominator to divide (or cancel) them

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children's $30 per day plus $5 for every sale that she makes at her job on Thursday she wants to earn at least $60

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Approximately 2 days to make at least 60 dollars.

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2 years ago

If the slope of the line is 3, indicate whether the line through the point rises, falls, horizontal, or vertical

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3 years ago

What is 04.151515... into a fraction

Sergio039 [100]

Answer:

$\displaystyle 4.\overline{15} = \frac{137}{33}$ .

Step-by-step explanation:

Start by separating this decimal number into its integer part and its fraction part:

$4.151515\cdots = 4 + 0.151515\cdots$

The most challenging task here is to express $0.151515\cdots$ as a proper fraction. Once that fraction is found, expressing the original number $4.151515\cdots$ will be as simple as rewriting a mixed number as an improper fraction.

Let $x = 0.151515\cdots$ . $(x + 4)$ would then represent the original number.

Note that the repeating digits appear in groups of two. Therefore, if the digits in $x$ are shifted to the left by two places, the repeating part will continue to match:

$\begin{aligned}x = 0.&151515\cdots && \\ 100\, x = 15.& 151515\cdots \end{aligned}$ .

Note, that this "shifting" is as simple as multiplying the initial number by $100$ (same as $10$ raised to the power of the number of digits that needs to be shifted.)