express 0.38 as a rational number in simplest form Related: Additiona...
Rational numbers= The numbers which can be expressed in the form of p/q and q is not equal to 0.
= 0.38 = 38/100
= 19/50. (on dividing by 2)
express 0.38 as a rational number in simplest form Related: Additiona...
**Expressing 0.38 as a Rational Number in Simplest Form**
To express 0.38 as a rational number in simplest form, we need to convert it into a fraction. A rational number is a number that can be written as a fraction, where the numerator and denominator are both integers.
To convert a decimal into a fraction, we need to determine the place value of each digit in the decimal. In 0.38, the 3 is in the tenths place and the 8 is in the hundredths place.
**Step 1: Determine the Denominator**
The number of decimal places in the decimal determines the denominator of the fraction. In this case, there are two decimal places, so the denominator will be 100 (since there are 100 hundredths in a whole).
**Step 2: Write the Decimal as a Fraction**
To write 0.38 as a fraction, we place the digits of the decimal as the numerator and the denominator is 100. So, 0.38 can be written as 38/100.
**Step 3: Simplify the Fraction**
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 38 and 100 is 2.
38 ÷ 2 = 19
100 ÷ 2 = 50
So, the simplified fraction is 19/50.
Therefore, 0.38 can be expressed as the rational number 19/50 in simplest form.
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