Express 2.45 in fraction
The decimal number 2.45 can be expressed as a fraction as 49/20.
A motorist drives for 4 hours at 80km/h and for another 2 hours at 20km/h find the motorist average speed
To find the average speed of the motorist, we need to calculate the total distance traveled and divide it by the total time taken.
First, let's calculate the distance traveled at 80 km/h.
Distance = Speed x Time
Distance = 80 km/h x 4 hours
Distance = 320 km
Next, let's calculate the distance traveled at 20 km/h.
Distance = Speed x Time
Distance = 20 km/h x 2 hours
Distance = 40 km
Now, let's calculate the total distance traveled.
Total Distance = Distance at 80 km/h + Distance at 20 km/h
Total Distance = 320 km + 40 km
Total Distance = 360 km
Finally, let's calculate the total time taken.
Total Time = Time at 80 km/h + Time at 20 km/h
Total Time = 4 hours + 2 hours
Total Time = 6 hours
Now, let's calculate the average speed.
Average Speed = Total Distance / Total Time
Average Speed = 360 km / 6 hours
Average Speed = 60 km/h
Therefore, the motorist's average speed is 60 km/h.
To express 2.45 as a fraction, we can follow these steps:
Step 1: Write the number as a fraction with the decimal as the numerator and 1 as the denominator:
2.45/1
Step 2: Multiply both the numerator and denominator by a power of 10 to eliminate the decimal places. In this case, we need to move the decimal point two places to the right:
2.45 * 100/1 * 100
= 245/100
Step 3: Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and denominator and dividing both by the GCD:
GCD(245, 100) = 5
245/100 ÷ 5/5
= 49/20
Therefore, 2.45 can be expressed as the fraction 49/20.
To express 2.45 as a fraction, you can follow these steps:
Step 1: Write down the decimal as a fraction, with the decimal part as the numerator and the place value of the decimal as the denominator.
In this case, the decimal part is 0.45, and the place value of the decimal is hundredths. So, we can write 0.45 as 45/100.
Step 2: Simplify the fraction, if possible, by dividing both the numerator and the denominator by their greatest common divisor (GCD).
In this case, the GCD of 45 and 100 is 5. By dividing both the numerator and the denominator by 5, we get 9/20.
So, 2.45 can be expressed as the fraction 9/20.