To understand this, look at what happens as the denominator approaches zero. Remember that you can always multiply the numerator and denominator by the same amount (which is equivalent to multiplying the entire fraction by 1):
1/1 = 1
1/.1 = (1x10)/(.1x10) = 10/1 = 10
1/.01 = (1x100)/(.01x100) = 100/1 = 100
1/.001 = (1x1000)/(.001x1000) = 1000/1 = 1000
Notice that as the denominator gets smaller, the value of the fraction gets larger. As the denominator goes to zero, the numerator becomes infinitely large. Many people either have no use for, or are uncomfortable with, the concept of infinity, so they say that a fraction with zero in the denominator is undefined.
Now consider that the numerator and denominator are both algebraic functions, rather than numeric values; for example let the numerator be (4 - z2) and the denominator be (2z - 4). When z = 2, the numerator and denominator both evaluate to zero - but in this case the fraction may still be defined - it depends on which function approaches zero faster - calculus gives us the tools to determine that.
Chat with our AI personalities
The number 0.757575 is a rational number. A rational number is any number that can be expressed as a fraction where the numerator and denominator are integers and the denominator is not zero. In this case, 0.757575 can be expressed as the fraction 75/99, which meets the criteria for a rational number.
The mixed number consists of a whole number and a fraction. Multiply the denominator of the fraction portion by the whole number and to this product add the numerator of the fraction portion. This value is the numerator of the new improper fraction. The denominator of the new improper fraction is the same as the denominator of the original fraction portion of the mixed number.
Multiply both the numerator (top) and the denominator (bottom) of the fraction by any non-zero integer or divide both by any common factor. You will have an equivalent fraction.
An improper fraction
The best way to answer fraction problems is with a fraction that has the same denominator or a common denominator with those in the original problem. Typically you also need to reduce it so that the final answer does not contain an improper fraction.