Writing to explain Owen is 147.3 cm tall, what is owen's height as a mixed number? What is owen's height as an improper fraction?
147.3 = 147 3/10 = 1473/10
To convert Owen's height, 147.3 cm, into a mixed number, follow these steps:
Step 1: Identify the whole number part:
The whole number part refers to the number before the decimal point. In this case, there is no whole number part since Owen's height is less than 1 meter.
Step 2: Convert the decimal part into a fraction:
Since there are 10 millimeters in a centimeter, we need to convert the decimal part, 0.3 cm, into a fraction.
To do this, we can set up the fraction by keeping the same number as the numerator and putting 10 as the denominator:
0.3/1 = 3/10
Therefore, Owen's height as a mixed number is 0 3/10 cm.
To convert Owen's height, 147.3 cm, into an improper fraction, follow these steps:
Step 1: Identify the numerator:
The numerator is the decimal part of the height. In this case, the numerator is 3.
Step 2: Identify the denominator:
The denominator is the place value of the decimal part. In this case, the denominator is 10.
Step 3: Write the improper fraction:
By combining the numerator and denominator, we can write Owen's height as an improper fraction:
3/10
Therefore, Owen's height as an improper fraction is 3/10.
To convert Owen's height from centimeters to a mixed number or an improper fraction, we need to understand how to represent mixed numbers and improper fractions.
A mixed number is a combination of a whole number and a fraction, represented in the form of a whole number followed by a fraction. For example, 3 1/2 is a mixed number.
An improper fraction, on the other hand, has a numerator that is greater than or equal to its denominator. It does not have a whole number component. An example of an improper fraction is 7/4.
To find Owen's height as a mixed number, we can divide the given height, 147.3 cm, by 1 cm (since there are 100 centimeters in a meter). This will give us the number of meters, which will become the whole number part of the mixed number. The remaining decimals can be converted to a fraction.
Mathematically, we can calculate Owen's height in meters as follows:
147.3 cm ÷ 100 cm = 1.473 meters
Thus, Owen's height as a mixed number would be 1 473/1000. We simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which in this case is 7. We get:
1 473 ÷ 7 / 1000 ÷ 7 = 210/1000
Owen's height can be simplified further by dividing both the numerator and the denominator by their greatest common divisor, which is 10. We then obtain:
210 ÷ 10 / 1000 ÷ 10 = 21/100
Therefore, Owen's height as a mixed number is 1 21/100.
To represent Owen's height as an improper fraction, we multiply the whole number part (in meters) by the denominator of the fraction and add the numerator. This will give us the new numerator, while the denominator remains the same.
Mathematically, we can calculate Owen's height as an improper fraction as follows:
1 × 100 + 21 / 100 = 121/100
Thus, Owen's height as an improper fraction is 121/100.