A strand of lights has 50 light bulbs. Eight bulbs are burned out. Write the ratio of total number to the bulbs that are burned out.show this ratio all 3 ways, in simpliest form.
50:8
To find the ratio of the total number of light bulbs to the bulbs that are burned out, we need to divide the total number of light bulbs by the number of bulbs that are burned out.
Total number of light bulbs: 50
Number of bulbs that are burned out: 8
1) Fraction form:
The ratio of the total number of light bulbs to the bulbs that are burned out can be expressed as a fraction:
50/8
This fraction cannot be simplified further.
2) Ratio form:
The ratio of the total number of light bulbs to the bulbs that are burned out can be written as:
50:8
This ratio cannot be simplified further.
3) Decimal form:
The ratio of the total number of light bulbs to the bulbs that are burned out can be written as a decimal:
50 ÷ 8 = 6.25
This decimal cannot be simplified further.
To find the ratio of the total number of light bulbs to the bulbs that are burned out, we need to determine both quantities first.
First, we have the total number of light bulbs, which is given as 50.
Second, we have the number of bulbs that are burned out, which is given as 8.
To write the ratio, we will express it in three different ways.
1. Ratio as a fraction:
The ratio can be written as a fraction by placing the number of light bulbs as the numerator and the number of burned-out bulbs as the denominator.
So, the ratio as a fraction is 50/8.
2. Ratio using a colon:
The ratio can also be represented using a colon. We simply write the number of light bulbs, followed by a colon, and then the number of burned-out bulbs.
So, the ratio using a colon is 50:8.
3. Ratio using the word "to":
The ratio can be expressed using the word "to" to indicate the relationship between the two quantities. We write the number of light bulbs, followed by "to," and then the number of burned-out bulbs.
So, the ratio using the word "to" is 50 to 8.
Now, let's simplify the ratio.
To simplify the fraction, we need to find the greatest common divisor (GCD) of the numerator and denominator, and then divide both numbers by it.
The GCD of 50 and 8 is 2. If we divide both numbers by 2, we get:
50 ÷ 2 = 25
8 ÷ 2 = 4
Therefore, the simplified ratio is:
1. Fraction: 25/4
2. Colon: 25:4
3. Word "to": 25 to 4
These are the three ways to express the ratio, all in their simplest form.
8/50
8 to 50
8:50
4/25