Question

представьте в виде обыкновенной несократимой дроби следующие десятичные дроби: 0,875 0,75 0,035 и *распишите ответ*

Answer 1

$0,875 = \frac{7}{8}$

$0,75 = \frac{3}{4}$

$0,035 = \frac{7}{200}$

Answer 2

Converting Decimal Fractions to Ordinary Fractions

To convert decimal fractions to ordinary fractions, we can use the following steps:

1. Identify the place value of the last digit after the decimal point. 2. Write the decimal fraction as a fraction with the decimal part as the numerator and the place value as the denominator. 3. Simplify the fraction, if possible, by dividing both the numerator and denominator by their greatest common divisor.

Let's apply these steps to the given decimal fractions:

1. Converting 0.875 to an ordinary fraction: - The last digit after the decimal point is in the thousandths place. - Writing it as a fraction, we have 875/1000. - Simplifying the fraction, we divide both the numerator and denominator by their greatest common divisor, which is 125. - Therefore, 0.875 can be written as the ordinary fraction 7/8.

2. Converting 0.75 to an ordinary fraction: - The last digit after the decimal point is in the hundredths place. - Writing it as a fraction, we have 75/100. - Simplifying the fraction, we divide both the numerator and denominator by their greatest common divisor, which is 25. - Therefore, 0.75 can be written as the ordinary fraction 3/4.

3. Converting 0.035 to an ordinary fraction: - The last digit after the decimal point is in the thousandths place. - Writing it as a fraction, we have 35/1000. - Simplifying the fraction, we divide both the numerator and denominator by their greatest common divisor, which is 5. - Therefore, 0.035 can be written as the ordinary fraction 7/200.

So, the decimal fractions 0.875, 0.75, and 0.035 can be represented as the ordinary fractions 7/8, 3/4, and 7/200, respectively.

Please let me know if you have any further questions!