1.6ocm {100cm} 3/5
The first thing to do is consider only the decimal part. 0.44444... This can be turned into a fraction via the following method: 0.4444... x 10 = 4.4444.... 0.4444... x 10 - 0.4444.... = 4 0.4444... x 9 = 4 4/9 = 0.4444.... The next step would be to turn the 54 units into a part of this fraction. To do that we need to multiply 54 by the denominator, 9. This comes to 486, which can then be added to the numerator to give 490. Therefore 54.4444... as a fraction is 490/9
No negative number can have a real square root.When you acquire enough math to work with imaginary numbers,you'll be able to express the square root of -52 as j7.2111 (rounded).
That is known as a unit rate.
Use unit analysis to solve this problem. In one hour there are 60 minutes and in one day there are 24 hours. That is, hr/60min and day/24hr (The division can be pronounced "per", as in "60 minutes per hour" or "one hour per 60 minutes") Using these two terms, divide out the minutes and multiply in the days: 3500min * hr/60min * day/24hr The "min" units in the numerator of 35000 cancels out with the 60 min in the denominator of hr/60min. Same with the "hr". What you are left with is 3500 * 1/60 * 1day/24 Multiplying this out is approximately 2.43 with the unit of "days" left in the numerator.
Conversion Factors:1 meter (m) = 109 nanometers (nm)1 m = 102 centimeters (cm)Conversion Factors can be written as a fraction, with one side of the formula in the numerator (top) and one side in the denominator (bottom).Example: ( 1 m / 109nm ) or ( 109nm / 1 m )Combine the conversion factors in a way, so that meters cancel out, because we don't have meters in the initial problem. Units can cancel, just like any other factor using a fraction.( 109nm / 1 m ) x ( 1 m = 102cm ) = 109nm / 102cm = 107 nm / cmThis translates to: 1 cm = 107 nmConvert either unit into the other, using thederivedconversion factor we just came up with. I'm going to convert the 10 nm into cm's because it's easier.10 nm x ( 1 cm / 107nm ) = 10 / 107 nm = 1 / 106 nm = 10-6 nmNote: You can move a number raised to an exponent from the numerator to the denominator, or the other way, as long as the polarity of the power changes. Polarity is just negative or positive. This was an optional step, I did it because it just is easier than expressing a fraction.Now Volume of a Cube, is going to be side cubed: V = s3Volume of small cubes = (10-6cm)3 = 10-18cm3Volume of the larger cube = (1 cm)3 = 1 cm3To figure out how many cubes fit into the larger cubes, divide the volume of the larger cube by the volume of a single smaller cube. The units cancel out, which makes sense because this is a "counting number", that is, you really don't say I have 3 second apples, you just say I have 3 apples.1 cm3/ 10-18cm3= 1018Remember, you can move numbers raised to a power along the numerator and denominator as long as the polarity of the power changes.The answer is 1018 cubes. That's a 1 with 18 zeros following it, orone quintillion.
What is a fraction in which the numerator and denominator represent the same amount but are in different units?
It is a ratio.
Multiply it by a fraction that has a certain number of inches in the numerator and the same length as the numerator but in the units of the given height in the denominator. The original units cancel out, and you're left with inches. If the numerator and denominator of a fraction are equal, the fraction is equal to 1, and multiplying something by 1 does not change its value.
This could be any fraction where the denominator and the numerator are different. For example, 1/2, 3/7, 15/8......and so on. In algebraic terms this would be written x/y where x ≠ y
A unit conversion ratio
The numerator tells you how many of the denominator units you have.
In a fraction they must be in the same units. In a ratio they need not be.
There are three main ways to express a fraction: as a fraction, and improper number, or as a decimal. A fraction follows the syntax a/b where b is the units (halfs, quarters, twenty-thirds) being expressed and a is the number of units that the fraction represents. An improper fraction can be created when the numerator is greater than the denominator, allowing us to take the value of the denominator out of the numerator allowing us to bring the number of times we were able to remove the denominator from the numerator outside the fraction (e.i. 5/4 = 1 1/4 or 9/4 = 2 1/4). A decimal expression of a fraction can be created by simply dividing the numerator of the fraction by the denominator (i.e. 2/3 = 0.667).
They usually have a denominator of 1 although numerators of 1 are also possible.
It is the denominator
They will depend on how the ratio was determined.
Write the conversion as a fraction. Then multiply the numerator and denominator across, then cancel any units that are both top and bottom.