Question Evaluate $\frac{40}{1} \times \frac{1,800}{16} \times \frac{1}{60}$ and express the nearest whole number.

Studdy Solution

STEP 1

Assumptions
1. We are given the expression $\frac{40}{1} \times \frac{1,800}{16} \times \frac{1}{60}$ .
2. We need to evaluate the expression and round the result to the nearest whole number.

STEP 2

First, we can simplify the expression by performing the multiplication. The multiplication of fractions can be done by multiplying the numerators together and the denominators together.
$\frac{40}{1} \times \frac{1,800}{16} \times \frac{1}{60} = \frac{40 \times 1,800 \times 1}{1 \times 16 \times 60}$

STEP 3

Next, we can simplify the multiplication of the numerators and the denominators separately.
$Numerator = 40 \times 1,800 \times 1$ $Denominator = 1 \times 16 \times 60$

STEP 4

Calculate the numerator.
$Numerator = 40 \times 1,800 = 72,000$

STEP 5

Calculate the denominator.
$Denominator = 16 \times 60 = 960$

STEP 6

Now, we can rewrite the expression with the calculated numerator and denominator.
$\frac{72,000}{960}$

STEP 7

To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD). However, in this case, it might be easier to simply perform the division.
$\frac{72,000}{960} = 72,000 \div 960$

STEP 8

Perform the division to simplify the fraction to a whole number.
$\frac{72,000}{960} = 75$

STEP 9

Since the result is already a whole number, we do not need to round it. Therefore, the expression evaluates to 75.
The answer to the nearest whole number is 75.

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