Monday Find the quotient $$ 5 \div \frac{7}{8}= $$ Find the difference. $$ 40.574-8.09 $$ $$ \begin{array}{c} ext { Write the ratio in } \ ext { simplest form. } \ 12: 3\end{array} $$

Question

Monday Find the quotient $$ 5 \div \frac{7}{8}= $$ Find the difference. $$ 40.574-8.09 $$ $$ \begin{array}{c}	ext { Write the ratio in } \ 	ext { simplest form. } \ 12: 3\end{array} $$

UpStudy AI · Accepted Answer

Calculate the value by following steps:
- step0: Calculate:
  $$40.574-8.09$$
- step1: Subtract the numbers:
  $$32.484$$
Calculate or simplify the expression $$ 12/3 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{12}{3}$$
- step1: Reduce the numbers:
  $$\frac{4}{1}$$
- step2: Calculate:
  $$4$$
Calculate or simplify the expression $$ 5/(7/8) $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{5}{\frac{7}{8}}$$
- step1: Multiply by the reciprocal:
  $$5\times \frac{8}{7}$$
- step2: Multiply:
  $$\frac{5\times 8}{7}$$
- step3: Multiply:
  $$\frac{40}{7}$$
Let's solve each part step by step:

1. **Finding the Quotient:**
   We need to calculate $$ 5 \div \frac{7}{8} $$.

To divide by a fraction, we multiply by its reciprocal:
   $$
   5 \div \frac{7}{8} = 5 \times \frac{8}{7} = \frac{40}{7} \approx 5.714285714285714
   $$
   So, the quotient is approximately $$ 5.7143 $$.

2. **Finding the Difference:**
   We need to calculate $$ 40.574 - 8.09 $$.

Performing the subtraction:
   $$
   40.574 - 8.09 = 32.484
   $$
   So, the difference is $$ 32.484 $$.

3. **Writing the Ratio in Simplest Form:**
   We need to simplify the ratio $$ 12:3 $$.

To simplify, we divide both numbers by their greatest common divisor (GCD), which is 3:
   $$
   \frac{12}{3} = 4
   $$
   Thus, the ratio in simplest form is $$ 4 $$.

### Summary of Results:
- Quotient: $$ 5.7143 $$
- Difference: $$ 32.484 $$
- Simplest form of the ratio $$ 12:3 $$ is $$ 4 $$.
- Quotient: $$ 5.7143 $$ - Difference: $$ 32.484 $$ - Ratio in simplest form: $$ 4 $$

Monday Find the quotient \( 5 \div \frac{7}{8}= \) Find the difference. \( 40.574-8.09 \) \( \begin{array}{c}\text { Write the ratio in } \\ \text { simplest form. } \\ 12: 3\end{array} \)

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