This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Here are the solutions to the problems: Write the decimal as a fraction. 1. Step 1: Identify the place value of the last digit. The '5' in 0.735 is in the thousandths place. Step 2: Write the number without the decimal point as the numerator and the place value (1000) as the denominator. (735)/(1000) Step 3: Simplify the fraction by dividing both numerator and denominator by their greatest common divisor, which is 5. (735 ÷ 5)/(1000 ÷ 5) = (147)/(200) 2. Step 1: The '1' in 0.051 is in the thousandths place. Step 2: Write the number without the decimal point as the numerator and 1000 as the denominator. (51)/(1000) 3. Step 1: The '4' in 0.804 is in the thousandths place. Step 2: Write the number without the decimal point as the numerator and 1000 as the denominator. (804)/(1000) Step 3: Simplify the fraction by dividing both numerator and denominator by their greatest common divisor, which is 4. (804 ÷ 4)/(1000 ÷ 4) = (201)/(250) 4. Step 1: The '2' in 0.2 is in the tenths place. Step 2: Write the number without the decimal point as the numerator and 10 as the denominator. (2)/(10) Step 3: Simplify the fraction by dividing both numerator and denominator by 2. (2 ÷ 2)/(10 ÷ 2) = (1)/(5) Write the fraction as a decimal. 5. Step 1: The denominator is 1000, so the decimal will have three places after the decimal point. Step 2: Write the numerator, 98, with a leading zero to fill the thousandths place. 0.098 6. Step 1: The denominator is 100, so the decimal will have two places after the decimal point. Step 2: Write the numerator, 67, directly after the decimal point. 0.67 7. Step 1: The denominator is 100, so the decimal will have two places after the decimal point. Step 2: Write the numerator, 4, with a leading zero to fill the hundredths place. 0.04 8. Step 1: The denominator is 10, so the decimal will have one place after the decimal point. Step 2: Write the numerator, 9, directly after the decimal point. 0.9 Write the phrase as a fraction and as a decimal. 9. 3 thousandths Fraction: (3)/(1000) Decimal: 0.003 10. 649 thousandths Fraction: (649)/(1000) Decimal: 0.649 Last free one today — make it count tomorrow, or type /upgrade for unlimited.