Express each ratio as a fraction in its lowest terms.
1.25cm to 3m
2.4days to 2weeks.
3.48seconds to 5minute.
4.3kg to 800g.
1.25cm to 3m can be written as 1.25/300 (divided both numerator and denominator by 25) or simplified to 1/240.
2.4 days to 2 weeks can be written as 2.4/14 (divided both numerator and denominator by 0.4) or simplified to 12/70 or 6/35.
48 seconds to 5 minutes can be written as 48/300 (divided both numerator and denominator by 6) or simplified to 8/50 or 4/25.
3kg to 800g can be written as 3/0.8 (divided both numerator and denominator by 100) or simplified to 15/4.
To express each ratio as a fraction in its lowest terms, we need to find the greatest common divisor (GCD) of the given numbers and simplify the ratio by dividing both sides by the GCD.
1. Ratio: 1.25 cm to 3 m.
We need to convert both quantities to the same units before simplifying.
3 m = 300 cm (since 1 m = 100 cm)
The ratio becomes 1.25 cm to 300 cm.
To simplify, we find the GCD of 1.25 and 300, which is 25.
Dividing both the numerator and the denominator by 25, we get:
1.25 cm / 25 : 300 cm / 25
Simplifying further, the ratio is:
0.05 cm : 12 cm
2. Ratio: 2.4 days to 2 weeks.
We need to convert both quantities to the same units before simplifying.
2 weeks = 14 days (since 1 week = 7 days)
The ratio becomes 2.4 days to 14 days.
To simplify, we find the GCD of 2.4 and 14, which is 2.
Dividing both the numerator and the denominator by 2, we get:
2.4 days / 2 : 14 days / 2
Simplifying further, the ratio is:
1.2 days : 7 days
3. Ratio: 48 seconds to 5 minutes.
We need to convert both quantities to the same units before simplifying.
5 minutes = 300 seconds (since 1 minute = 60 seconds)
The ratio becomes 48 seconds to 300 seconds.
To simplify, we find the GCD of 48 and 300, which is 12.
Dividing both the numerator and the denominator by 12, we get:
48 seconds / 12 : 300 seconds / 12
Simplifying further, the ratio is:
4 seconds : 25 seconds
4. Ratio: 3 kg to 800 g.
We need to convert both quantities to the same units before simplifying.
800 g = 0.8 kg (since 1 kg = 1000 g)
The ratio becomes 3 kg to 0.8 kg.
Since the units are the same, no further conversion is needed.
To simplify, we find the GCD of 3 and 0.8, which is 0.2.
Dividing both the numerator and the denominator by 0.2, we get:
3 kg / 0.2 : 0.8 kg / 0.2
Simplifying further, the ratio is:
15 kg : 4 kg
To express each ratio as a fraction in its lowest terms, we need to convert the given quantities to the same unit of measurement and simplify the resulting fraction.
1. To convert 1.25 cm to meters, we divide it by 100 (since there are 100 centimeters in a meter):
1.25 cm ÷ 100 = 0.0125 m
Now we can express the ratio as a fraction:
0.0125 m to 3 m
To simplify the fraction, we divide both the numerator and denominator by their greatest common divisor (GCD). In this case, since there are no common factors other than 1, the fraction is already in its simplest form:
0.0125 m / 3 m = 1/240
Therefore, the ratio 1.25 cm to 3 m can be expressed as the fraction 1/240.
2. To convert 2.4 days to weeks, we divide it by 7 (since there are 7 days in a week):
2.4 days ÷ 7 = 0.3428571 weeks
Now we can express the ratio as a fraction:
0.3428571 weeks to 2 weeks
To simplify the fraction, we divide both the numerator and denominator by their GCD. In this case, the fraction can be simplified to 1/5:
0.3428571 weeks / 2 weeks = 1/5
Therefore, the ratio 2.4 days to 2 weeks can be expressed as the fraction 1/5.
3. To convert 48 seconds to minutes, we divide it by 60 (since there are 60 seconds in a minute):
48 seconds ÷ 60 = 0.8 minutes
Now we can express the ratio as a fraction:
0.8 minutes to 5 minutes
To simplify the fraction, we divide both the numerator and denominator by their GCD. In this case, the fraction can be simplified to 4/25:
0.8 minutes / 5 minutes = 4/25
Therefore, the ratio 48 seconds to 5 minutes can be expressed as the fraction 4/25.
4. To convert 3 kg to grams, we multiply it by 1000 (since there are 1000 grams in a kilogram):
3 kg × 1000 = 3000 g
Now we can express the ratio as a fraction:
3000 g to 800 g
To simplify the fraction, we divide both the numerator and denominator by their GCD. In this case, the fraction can be simplified to 15/4:
3000 g / 800 g = 15/4
Therefore, the ratio 3 kg to 800 g can be expressed as the fraction 15/4.