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mrs_skeptik [129]
3 years ago
12

Find an equivalent fraction for the decimal number. In your final answer, include all of your work.

Mathematics
2 answers:
lozanna [386]3 years ago
8 0

Answer:

\frac{61}{100}

Step-by-step explanation:

To find an equivalent fraction for the decimal number = 0.61

First we have to write down the decimal number divided by 1

0.61  as  \frac{0.61}{1}

then multiply both top and bottom by 10 for every number after the decimal point.

=  \frac{0.61\times 100}{1\times 100}

The reduce the fraction

= \frac{61}{100}

Marat540 [252]3 years ago
5 0
0.61 as a fraction would be 61/100 ,because you have two numbers behind the decimal point

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Answer:

The first choice, 11^{15}.

Step-by-step explanation:

The numerator, 11^{18}, is equivalent to eighteen "11" multiplied together:

11^{18} = \underbrace{11 \times 11 \times 11 \times 11 \times \cdots \times 11 \times 11}_{\text{$18$ in total}}.

On the other hand, the denominator, 11^{3}, is equivalent to three "11" multiplied with one another:

11^{3} = 11 \times 11 \times 11.

Dividing 11^{18} by 11^{3} would eliminate three "11" from the numerator:

\begin{aligned}& \frac{11^{18}}{11^{3}} \\ =\; & \frac{(11 \times 11 \times 11) \times \overbrace{11 \times \cdots \times 11}^{\text{$(18 - 3)$ in total}}}{(11 \times 11 \times 11)} \\ =\; & \overbrace{11 \times \cdots \times 11}^{\text{$15$ in total}} \\ =\; & 11^{15}\end{aligned}.

In general, dividing an expression by y^{b} (y \ne 0) is equivalent to multiplying that expression by y^{-b}.

For example, in this question, dividing 11^{18} by 11^{3} would be equivalent to multiplying 11^{18}\! by 11^{-3}. In other words:

\begin{aligned}& \frac{11^{18}}{11^{3}} \\ =\; & 11^{18} \times 11^{-3} \\ =\; & 11^{18 - 3} \\ =\; & 11^{15}\end{aligned}.

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