3/8 Times 16 equals?
To find the product of 3/8 times 16, simply multiply the two numbers:
(3/8) * 16 = (3 * 16) / 8 = 48/8.
Now, simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 8:
(48/8) / (8/8) = 6/1 = 6.
So, 3/8 times 16 equals 6.
Multiplying Fractions
Multiplying fractions is a common mathematical operation that involves taking two fractional values and determining their product. The general process involves multiplying the numerators together and multiplying the denominators together.
For example, to multiply 2/3 * 3/5:
- Numerators: 2 * 3 = 6
- Denominators: 3 * 5 = 15
Therefore, 2/3 * 3/5 = 6/15
This process works the same when one or both of the fractions are mixed numbers or when one fraction has a whole number in place of a numerator.
Multiplying by a Whole Number
When multiplying a fraction by a whole number, we can represent that whole number as an equivalent fraction over 1.
For example:
16 = 16/1
So to multiply 3/8 * 16, we can rewrite it as:
3/8 * 16/1
Now we can apply the process for multiplying any two fractions:
- Numerators: 3 * 16 = 48
- Denominators: 8 * 1 = 8
Therefore, 3/8 * 16 = 48/8
Which reduces to 6.
Simplifying the Product
Once we multiply the numerators and denominators, we end up with a product fraction that may need to be simplified. Simplifying involves dividing out any common factors between the numerator and denominator.
In this example, 48 and 8 both share a common factor of 8. So we can simplify:
48/8 = 6
By dividing both the numerator and denominator by the common factor.
Checking the Solution
An easy way to double check fraction multiplication is by estimating. 3/8 is close to 1/2. Half of 16 is 8. So our product should be close to 8. 6 seems reasonable compared to the estimate.
We could also enter the original expression into a calculator to verify the product. Doing so confirms that 3/8 * 16 does indeed equal 6.
In summary, multiplying fractions involves multiplying numerators and multiplying denominators. When multiplying by a whole number, represent it as a fraction over 1. Finally, be sure to simplify the product fraction if needed and check your work by estimating or using a calculator.
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