Write the decimal as a fraction and write the fraction as a decimal.

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Here are the solutions to the problems:

Write the decimal as a fraction.

1.

Identify the place value of the last digit.
The '5' in 0.735 is in the thousandths place.
Write the number without the decimal point as the numerator and the place value (1000) as the denominator.
$\frac{735}{1000}$
Simplify the fraction by dividing both numerator and denominator by their greatest common divisor, which is 5.
$\frac{735 \div 5}{1000 \div 5} = \boxed{\mathbf{\frac{147}{200}}}$
2.
The '1' in 0.051 is in the thousandths place.
Write the number without the decimal point as the numerator and 1000 as the denominator.
$\boxed{\mathbf{\frac{51}{1000}}}$
3.
The '4' in 0.804 is in the thousandths place.
Write the number without the decimal point as the numerator and 1000 as the denominator.
$\frac{804}{1000}$
Simplify the fraction by dividing both numerator and denominator by their greatest common divisor, which is 4.
$\frac{804 \div 4}{1000 \div 4} = \boxed{\mathbf{\frac{201}{250}}}$
4.
The '2' in 0.2 is in the tenths place.
Write the number without the decimal point as the numerator and 10 as the denominator.
$\frac{2}{10}$
Simplify the fraction by dividing both numerator and denominator by 2.
$\frac{2 \div 2}{10 \div 2} = \boxed{\mathbf{\frac{1}{5}}}$
Write the fraction as a decimal.

5.
The denominator is 1000, so the decimal will have three places after the decimal point.
Write the numerator, 98, with a leading zero to fill the thousandths place.
$\boxed{\mathbf{0.098}}$
6.
The denominator is 100, so the decimal will have two places after the decimal point.
Write the numerator, 67, directly after the decimal point.
$\boxed{\mathbf{0.67}}$
7.
The denominator is 100, so the decimal will have two places after the decimal point.
Write the numerator, 4, with a leading zero to fill the hundredths place.
$\boxed{\mathbf{0.04}}$
8.
The denominator is 10, so the decimal will have one place after the decimal point.
Write the numerator, 9, directly after the decimal point.
$\boxed{\mathbf{0.9}}$
Write the phrase as a fraction and as a decimal.

9. 3 thousandths
Fraction: $\boxed{\mathbf{\frac{3}{1000}}}$
Decimal: $\boxed{\mathbf{0.003}}$

10. 649 thousandths
Fraction: $\boxed{\mathbf{\frac{649}{1000}}}$
Decimal: $\boxed{\mathbf{0.649}}$

Write the decimal as a fraction and write the fraction as a decimal.

Step-by-step solution

Identify the place value of the last digit.

Write the number without the decimal point as the numerator and the place value (1000) as the denominator.

Simplify the fraction by dividing both numerator and denominator by their greatest common divisor, which is 5.

The '1' in 0.051 is in the thousandths place.

Write the number without the decimal point as the numerator and 1000 as the denominator.

The '4' in 0.804 is in the thousandths place.

Write the number without the decimal point as the numerator and 1000 as the denominator.

Simplify the fraction by dividing both numerator and denominator by their greatest common divisor, which is 4.

The '2' in 0.2 is in the tenths place.

Write the number without the decimal point as the numerator and 10 as the denominator.

Simplify the fraction by dividing both numerator and denominator by 2.

The denominator is 1000, so the decimal will have three places after the decimal point.

Write the numerator, 98, with a leading zero to fill the thousandths place.

The denominator is 100, so the decimal will have two places after the decimal point.

Write the numerator, 67, directly after the decimal point.

The denominator is 100, so the decimal will have two places after the decimal point.

Write the numerator, 4, with a leading zero to fill the hundredths place.

The denominator is 10, so the decimal will have one place after the decimal point.

Write the numerator, 9, directly after the decimal point.

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