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next examples for a better understand of how to convert a decimal into
fraction. Example 1 Convert 0.7 to a fraction. Solution The fraction can be
simplified by reducing the denominator and numerator with a common element. We
can easily convert a decimal number to a fraction from following easy measures
and no calculators are needed. This article has elaborated all the steps of
converting decimals into fractions, with some examples. Let's know these steps
on to convert the decimal into fractions: The percentage is currently at its
lowest terms, therefore, 7/10 is the response. Before we know how to convert decimals
into fractions, there are quite a few fundamental information we have to
understand about decimals and fractions. To begin with, a decimal amount is
most likely a number that has a dot (.) Between the specimens, this scatter is
referred to as a decimal point. Fundamentally, decimal numbers are only
fractions using a denominator expressed in energy of 10. Instance of decimal
figures are: 0.005, 3.2, 10.9, 55.1, 1.28, 9.234, etc.. how many grams in acup
A percentage on the other hand is part of a whole number
usually denoted as a percentage of two integers a/b. Both integers a and b are
known as both the numerator and denominator respectively. There are 3 forms of
fractions namely: Suitable, Improper and Combined fraction. Let n be the number
of digits to the perfect side after the match point. The number 0.7 has only
one decimal position, therefore our n will be 1. Write the number with no
decimal point for a numerator and also the ability of 10 n since the
denominator First, begin by counting the amounts to the perfect side after the
decimal point. Now our percentage is 7/ 101. And because 101 = 10, then our
fraction is 7/10. The Way to Convert a Repeating Decimal to Fraction? Just take
the number for a numerator by dismissing the decimal point. Take also the
ability of 101 as the denominator. how many water bottles in a gallon
articles of incorporation:The simplified percentage
will be the necessary fraction in the given decimal number. Repeating or recurring
numbers are decimal numbers with all the endless repeating decimal digits.
Either there can be one digit repeating or 2 and more specimens repeating by
switching. Examples of repeating numbers are: 0.3333333.... , 0.666...,
4.2525252525..., 0. To convert a copying number into a fraction, see the next
example. Instance 5 Convert the repeating number 0.6666... Into fraction.
Solution Let r be the repeating number: r = 0.6666 Multiply both sides of the
multiplication paragraph by 10. 10 x = 6.666... Perform the subtract on each
side of the equation as shown below; (10x -- x) = (6.6666 -- 0.666) 9x = 6.000
Now divide both sides by 9; x = 6/9 Simplify the fraction to its lowest terms x
= 6/9 = 2/3 Hence, 0.6666...= 2/3 Therefore 2/3 is percent from a recurring
number 0.6666666.... .
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