\frac{3}{8} \times 4,000=
Answer (1)
Multiply the numerator of the fraction by the whole number: 3 × 4 , 000 = 12 , 000 .
Divide the result by the denominator: 8 12 , 000 = 1 , 500 .
Simplify the fraction by dividing 4000 by 8 : 8 4000 = 500 .
Multiply the result by 3 : 3 × 500 = 1500 .
Explanation
Problem Analysis We are asked to calculate the value of the expression 8 3 × 4 , 000 . This involves multiplying a fraction by a whole number.
Setting up the Calculation To solve this, we can multiply the numerator of the fraction by the whole number and then divide by the denominator. This can be written as: 8 3 × 4 , 000 = 8 3 × 4 , 000
Multiplying the Numerator First, let's multiply 3 by 4 , 000 : 3 × 4 , 000 = 12 , 000 So the expression becomes: 8 12 , 000
Dividing by the Denominator Now, we divide 12 , 000 by 8 : 8 12 , 000 = 1 , 500
Final Result Therefore, the result of the calculation is 1 , 500 .
Final Answer Thus, 8 3 × 4 , 000 = 1500 .
Examples
Imagine you are baking a cake for a large party, and the recipe calls for 8 3 of a bag of flour. If you have 4 , 000 grams of flour in the bag, you need to calculate how many grams of flour you should use. This problem is a direct application of multiplying a fraction by a whole number, where you determine that you need 1 , 500 grams of flour for your cake.
