Express each ratio as fraction in like lowest terms.
1 1/2 to 30 minutes
48seconds to 5 minutes
100cm to 5m
3600seconds : 2 hours
48s : 5min = 48s : 300s = 48:300 = 4:25
do the others in like wise. change to common units
To express each ratio as a fraction in lowest terms, we need to simplify each ratio by finding the greatest common factor (GCF) and dividing the numerator and denominator by it.
Let's solve each ratio one by one:
1. 1 1/2 to 30 minutes:
To convert 1 1/2 to an improper fraction, we multiply the whole number (1) by the denominator (2) and add the numerator (1) to get 3/2. The ratio becomes 3/2 to 30 minutes.
To find the GCF of 3 and 30, we list the factors of each number:
Factors of 3: 1, 3
Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
The GCF of 3 and 30 is 3. Therefore, we divide both the numerator and denominator by 3:
(3/3) / (30/3) = 1/10
So, the simplified fraction is 1/10.
2. 48 seconds to 5 minutes:
Since both 48 seconds and 5 minutes are already expressed in the same unit of time (seconds), we can use them directly.
To find the GCF of 48 and 300 (converted 5 minutes to seconds), we list the factors of each number:
Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Factors of 300: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
The GCF of 48 and 300 is 12. Therefore, we divide both the numerator and denominator by 12:
(48/12) / (300/12) = 4/25
So, the simplified fraction is 4/25.
3. 100cm to 5m:
Since there are 100 centimeters in 1 meter, we can convert the ratio to centimeters.
100cm to 5m is equivalent to 100cm to 500cm (5 multiplied by 100).
To find the GCF of 100 and 500, we list the factors of each number:
Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100
Factors of 500: 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
The GCF of 100 and 500 is 100. Therefore, we divide both the numerator and denominator by 100:
(100/100) / (500/100) = 1/5
So, the simplified fraction is 1/5.
4. 3600 seconds to 2 hours:
Since there are 3600 seconds in 1 hour, we can convert the ratio to seconds.
3600 seconds to 2 hours is equivalent to 3600 seconds to 7200 seconds (2 multiplied by 3600).
To find the GCF of 3600 and 7200, we list the factors of each number:
Factors of 3600: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 150, 180, 200, 225, 300, 360, 450, 600, 900, 1800, 3600
Factors of 7200: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 80, 90, 100, 120, 144, 150, 180, 200, 225, 240, 300, 360, 400, 450, 600, 720, 900, 1200, 1440, 1800, 2400, 3600, 7200
The GCF of 3600 and 7200 is 3600. Therefore, we divide both the numerator and denominator by 3600:
(3600/3600) / (7200/3600) = 1/2
So, the simplified fraction is 1/2.
To summarize:
1 1/2 to 30 minutes = 1/10
48 seconds to 5 minutes = 4/25
100cm to 5m = 1/5
3600 seconds to 2 hours = 1/2
To express each ratio as a fraction in lowest terms, we need to find the greatest common factor (GCF) of the numerator and the denominator in each ratio.
1 1/2 to 30 minutes:
To express 1 1/2 as a fraction, we can convert the mixed number to an improper fraction:
1 1/2 = (1 * 2 + 1)/2 = 3/2
So, the ratio 1 1/2 to 30 minutes can be written as 3/2 to 30.
We can divide both the numerator and denominator by their greatest common factor (GCF) to find the lowest terms:
GCF of 3 and 30 is 3.
Dividing both the numerator and denominator of the fraction 3/2 by 3:
(3/3) / (2/3) = 1/2
Therefore, the ratio 1 1/2 to 30 minutes as a fraction in lowest terms is 1/2.
48 seconds to 5 minutes:
The ratio 48 seconds to 5 minutes can be written as 48/5.
To find the lowest terms, we need to determine the GCF of 48 and 5.
The GCF of 48 and 5 is 1.
Dividing both the numerator and denominator of the fraction 48/5 by 1:
48/1 / 5/1 = 48/5
Therefore, the ratio 48 seconds to 5 minutes as a fraction in lowest terms is 48/5.
100 cm to 5 m:
The ratio 100 cm to 5 m can be written as 100/5.
To find the lowest terms, we need to determine the GCF of 100 and 5.
The GCF of 100 and 5 is 5.
Dividing both the numerator and denominator of the fraction 100/5 by 5:
(100/5) / (5/5) = 20/1 = 20
Therefore, the ratio 100 cm to 5 m as a fraction in lowest terms is 20.
3600 seconds to 2 hours:
The ratio 3600 seconds to 2 hours can be written as 3600/2.
To find the lowest terms, we need to determine the GCF of 3600 and 2.
The GCF of 3600 and 2 is 2.
Dividing both the numerator and denominator of the fraction 3600/2 by 2:
(3600/2) / (2/2) = 1800/1 = 1800
Therefore, the ratio 3600 seconds to 2 hours as a fraction in lowest terms is 1800.