1.7 as a fraction is seventeen over one hundred. To write 1.7 as a fraction, we can divide seventeen into one hundred, which gives us one hundred seventeenths, or seventeen over one hundred.
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Understanding 1.7 as a Fraction
It is important to understand what fractions are and how they work in order to fully understand 1.7 as a fraction . A fraction is a number that represents a part of a whole. The whole can be thought of as the numerator and the part can be thought of as the denominator. In order to write 1.7 as a fraction, we need to find an equivalent fraction with a denominator of 10.
What is a fraction?
A fraction (from Latin fractus, “broken”) represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters. A common, vulgar, or simple fraction (examples: ¼ and 1/7) consists of an integer numerator displayed above a line (or before a slash) and an integer denominator displayed below (or after) that line. Numerators and denominators are also used in fractions that are not common, including compound fractions which have non-zero integer values following the decimal point (examples: 2 3/4 and 1 7/9), mixed fractions or mixed numerals which have non-zero integer values preceding the decimal point (example: 1¾), and complex fractions whose numerators or denominators include other operations such as square roots (example: 3 + √5/2).
Fractals can also be created from limited subsets of the real numbers. For instance the Sierpinski triangle is formed by recursively removing all triangles with sides that are entirely black or white; similarly the Koch curve is formed by starting with a straight line segment then recursively replacing all middle thirds of line segments with two equal curves each one-third the length of the original segment.
In formal terms, every fraction is defined to be equivalent to a rational number; that is, every fraction corresponds to some rational number (and vice versa). For example 1/4 is equivalent to 2/8 because both represent the same quantity: one quarter of something. In general if n and d are integers such that d ≠ 0 then n/d corresponds to a rational number provided by q = nd^−1. The numerator qn of this rational number is equal to n and its denominator qd is equal to d. More generally any rational number can be expressed as a fraction by writing it in lowest terms so that its numerator has no common factors with its denominator; this process is called expanding it into continued fractions
What is 1.7 as a decimal?
Before we answer the question, “what is 1.7 as a fraction?”, let’s take a look at what 1.7 means as a decimal. If you divide 1 by 10, you get 0.1. You can keep dividing by 10 and get smaller and smaller numbers:
1/10 = 0.1
1/100 = 0.01
1/1000 = 0.001
You can keep going until you get to 1/1000000000000000, which is equal to 0.000000000000001. So, what happens when you divide 1 by 10 one more time? You get 0.0999999999999999, which is really close to, but not quite equal to, 0.1. In other words, 1/10 = 0.1, but 1/100 is slightly less than 0.1 (0.0999999999999999), and 1/1000 is slightly less than 0.01 (0.00999999999999999), and so on.
Now let’s look at what 1.7 means as a decimal:
1 divided by 10 = 0.1 (one tenth)
10 divided by 100 = 0.1 (one hundredth)
7 divided by 1000 = 0.007 (seven thousandths)
So, 1.7 as a decimal simply means: “one point seven” or “one and seven tenths”.
Expressing 1.7 as a Fraction
1.7 can be expressed as a fraction in a number of ways. The easiest way to do this is to find the closest fraction that is less than 1.7. This can be done by finding the nearest whole number to 1.7 and subtracting it from 1.7.
Converting 1.7 to a fraction
1.7 can be expressed as a fraction in a couple of different ways. The first way is to use a mixed number. A mixed number is a whole number followed by a fraction. In this case, 1.7 would be written as 1 3/5 because there are three fifths in one and seven fifths in 1.7.
Another way to express 1.7 as a fraction is to use its decimal form. To do this, simply move the decimal point two places to the left and write the resulting number over 100. So, 1.7 would be written as 17/100.
Expressing 1.7 as a mixed number
To express 1.7 as a mixed number, we need to first determine what the whole number is. We do this by finding the greatest whole number that is less than 1.7. In this case, the greatest whole number less than 1.7 is 1. So our mixed number will be 1 and the fraction will be what is left over when we subtract 1 from 1.7.
1.7 – 1 = .7
Therefore, 1.7 expressed as a mixed number is 1 & 7/10ths