Express each ratio as a fraction in simplest form. 8 dm to 3.2 m.
To express 8 dm to 3.2 m as a fraction in simplest form, we need to convert either the decimeters to meters or the meters to decimeters so that both quantities are in the same unit.
Since there are 10 decimeters in 1 meter, we can convert 8 dm to meters by dividing it by 10:
8 dm ÷ 10 = 0.8 m
Now, we have the ratio 0.8 m to 3.2 m.
To express this ratio as a fraction, we can write it as:
0.8/3.2
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 0.8 and 3.2 is 0.8.
Dividing both numerator and denominator by 0.8, we get:
0.8/0.8 ÷ 3.2/0.8 = 1/4
Therefore, the ratio 8 dm to 3.2 m can be expressed as the fraction 1/4 in simplest form.
Express each ratio as a fraction in simplest form. 0.3 km to 500 m.
To express 0.3 km to 500 m as a fraction in simplest form, we need to convert either the kilometers to meters or the meters to kilometers so that both quantities are in the same unit.
Since there are 1000 meters in 1 kilometer, we can convert 0.3 km to meters by multiplying it by 1000:
0.3 km × 1000 = 300 m
Now, we have the ratio 300 m to 500 m.
To express this ratio as a fraction, we can write it as:
300/500
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 300 and 500 is 100.
Dividing both numerator and denominator by 100, we get:
300/100 ÷ 500/100 = 3/5
Therefore, the ratio 0.3 km to 500 m can be expressed as the fraction 3/5 in simplest form.
Express each ratio as a fraction in simplest form. 2 hours and 20 minutes to 40 minutes.
To express 2 hours and 20 minutes to 40 minutes as a fraction in simplest form, we need to convert either the hours and minutes to minutes or the minutes to hours and minutes so that both quantities are in the same unit.
There are 60 minutes in 1 hour. Therefore, 2 hours can be expressed as 2 * 60 = 120 minutes.
Now, we have the ratio 120 minutes and 20 minutes to 40 minutes.
To express this ratio as a fraction, we can write it as:
(120 + 20)/40
Simplifying the numerator, we have:
140/40
To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD). In this case, the GCD of 140 and 40 is 20.
Dividing both the numerator and denominator by 20, we get:
140/20 ÷ 40/20 = 7/2
Therefore, the ratio 2 hours and 20 minutes to 40 minutes can be expressed as the fraction 7/2 in simplest form.
A platter holds 24 strawberries, 2 apples, and 16 oranges. What fraction of all the fruit are strawberries? What fraction of all the fruit are apples? What fraction of all the fruit are oranges?
To find the fraction of all the fruit that are strawberries, we need to divide the number of strawberries by the total number of fruit:
Fraction of strawberries = 24 / (24 + 2 + 16)
= 24 / 42
= 12 / 21
So, the fraction of all the fruit that are strawberries is 12/21.
To find the fraction of all the fruit that are apples, we divide the number of apples by the total number of fruit:
Fraction of apples = 2 / (24 + 2 + 16)
= 2 / 42
= 1 / 21
Thus, the fraction of all the fruit that are apples is 1/21.
To find the fraction of all the fruit that are oranges, we divide the number of oranges by the total number of fruit:
Fraction of oranges = 16 / (24 + 2 + 16)
= 16 / 42
= 8 / 21
Therefore, the fraction of all the fruit that are oranges is 8/21.