Convert the decimal number 0.74. Turn it into a reduced (simplified) proper fraction and write it as a percentage. Calculate other equivalent fractions to the decimal number, by expanding
Convert 0.74
1. Write the number as a percentage.
Multiply the number by 100/100
Note: 100/100 = 1
The value of the number does not change when multiplying by 100/100
0.74 =
0.74 × 100/100 =
(0.74 × 100)/100 =
74/100 =
74%
In other words:
Multiply the number by 100...
... And then add the percent sign, %
0.74 = 74%
2. Write the number as a proper fraction.
0.74 can be written as a proper fraction.
The numerator is smaller than the denominator.
Write down the number divided by 1, as a fraction:
0.74 = 0.74/1
Turn the top number into a whole number.
Multiply both the top and the bottom by the same number.
This number is: 100.
1 followed by as many 0-s as the number of digits after the decimal point.
0.74/1 =
(0.74 × 100)/(1 × 100) =
74/100
3. Reduce (simplify) the fraction above: 74/100
(to the lowest terms, to its simplest equivalent form, irreducible).
To reduce a fraction divide the numerator and the denominator by their greatest (highest) common factor (divisor), GCF.
Factor both the numerator and the denominator (prime factorization).
In exponential notation (an):
74 = 2 × 37
100 = 22 × 52
Calculate the greatest (highest) common factor (divisor), GCF.
Multiply all the common prime factors by the lowest exponents.
GCF (2 × 37; 22 × 52) = 2
Divide both the numerator and the denominator by their greatest common factor, GCF.
74/100 =
(2 × 37)/(22 × 52) =
((2 × 37) ÷ 2) / ((22 × 52) ÷ 2) =
37/(2 × 52) =
37/50
37/50: Equivalent fractions.
The above fraction cannot be reduced.
That is, it has the smallest possible numerator and denominator.
By expanding it we can build up equivalent fractions.
Multiply the numerator & the denominator by the same number.
Example 1. By expanding the fraction by 4:
37/50 = (37 × 4)/(50 × 4) = 148/200
Example 2. By expanding the fraction by 5:
37/50 = (37 × 5)/(50 × 5) = 185/250
Of course, the above fractions are reducing...
... to the initial fraction: 37/50
:: Final answer ::
Written in 3 different ways
As a reduced (simplified) positive proper fraction:
0.74 = 37/50
As a percentage:
0.74 = 74%
As equivalent fractions:
0.74 = 37/50 = 148/200 = 185/250
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