Convert the mixed number to its equivalent decimal and vice versa. $$ 2 \frac{10}{40}= $$

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UpStudy AI · Accepted Answer

To convert the mixed number $$ 2 \frac{10}{40} $$ to its equivalent decimal, we can follow these steps:

1. **Convert the fraction to a decimal**:
   - First, simplify the fraction $$ \frac{10}{40} $$.
   - Then, convert the simplified fraction to a decimal.

2. **Add the whole number**:
   - Finally, add the whole number part (which is 2) to the decimal obtained from the fraction.

Let's start with the first step by simplifying the fraction $$ \frac{10}{40} $$:

$$
\frac{10}{40} = \frac{1}{4}
$$

Now, we convert $$ \frac{1}{4} $$ to a decimal:

$$
\frac{1}{4} = 0.25
$$

Now, we add this decimal to the whole number part:

$$
2 + 0.25 = 2.25
$$

Thus, the mixed number $$ 2 \frac{10}{40} $$ is equivalent to the decimal $$ 2.25 $$.

Now, to convert the decimal $$ 2.25 $$ back to a mixed number:

1. **Separate the whole number and the decimal part**:
   - The whole number part is 2.
   - The decimal part is 0.25.

2. **Convert the decimal part back to a fraction**:
   - $$ 0.25 $$ can be expressed as $$ \frac{25}{100} $$, which simplifies to $$ \frac{1}{4} $$.

3. **Combine the whole number and the fraction**:
   - Thus, $$ 2.25 $$ can be expressed as $$ 2 \frac{1}{4} $$.

In conclusion, the conversions are:
- From mixed number to decimal: $$ 2 \frac{10}{40} = 2.25 $$
- From decimal to mixed number: $$ 2.25 = 2 \frac{1}{4} $$
$$ 2 \frac{10}{40} = 2.25 $$ and $$ 2.25 = 2 \frac{1}{4} $$.

Convert the mixed number to its equivalent decimal and vice versa. \( 2 \frac{10}{40}= \)

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