10:40 384 deltamath.com Question Video Examples What could you divide and then multiply by to go from the first number to the second? First number: 30 Second number: 85 Answer Attempt 1 out of 2 To get to 1, divide 30 by $$ \square $$ . From 1, multiply by $$ \square $$ to get to 85 . OR, in a single step, multiply 30 by $$ \square $$ to get to 85 . Submit Answer Still Stuck?

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UpStudy AI · Accepted Answer

To solve the problem of finding what you could divide and then multiply by to go from 30 to 85, we can break it down into steps.

### Step 1: Determine the multiplication factor

We want to find a number $$ x $$ such that:

$$
30 \times x = 85
$$

To find $$ x $$, we can rearrange the equation:

$$
x = \frac{85}{30}
$$

### Step 2: Calculate $$ x $$

Now, let's calculate $$ x $$:

$$
x = \frac{85}{30}
$$

### Step 3: Simplify $$ x $$

We can simplify this fraction:

$$
x = \frac{85 \div 5}{30 \div 5} = \frac{17}{6}
$$

### Step 4: Verify the calculation

To verify, we can multiply $$ 30 $$ by $$ \frac{17}{6} $$:

$$
30 \times \frac{17}{6} = \frac{30 \times 17}{6} = \frac{510}{6} = 85
$$

This confirms that multiplying $$ 30 $$ by $$ \frac{17}{6} $$ gives us $$ 85 $$.

### Conclusion

Thus, the answer is:

- You can multiply $$ 30 $$ by $$ \frac{17}{6} $$ to get $$ 85 $$.
- Alternatively, if you want to think in terms of division and multiplication, you could divide $$ 30 $$ by $$ \frac{6}{17} $$ (which is the reciprocal of $$ \frac{17}{6} $$) to get $$ 1 $$, and then multiply by $$ 85 $$.

So, the final answer is:

$$
\text{Multiply by } \frac{17}{6}
$$
You can multiply 30 by $$ \frac{17}{6} $$ to get 85.

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