mixed conversions\n21. a tape measure reads 3/16 inches. what is this measurement in decimal form?\n22. if a…

mixed conversions\n21. a tape measure reads 3/16 inches. what is this measurement in decimal form?\n22. if a measurement on a tape measure is 0.375 inches, what is it as a fraction found on the tape measure?\n23. a tape measure shows a length of 7/8 inches. what is this length in fraction form?\n24. you measure a piece of wood on a tape measure, and it reads 0.625 inches. what is this measurement as a fraction?\n25. if you have a measurement of 0.875 inches on a tape measure, what is it as a fraction found on the tape measure?

mixed conversions\n21. a tape measure reads 3/16 inches. what is this measurement in decimal form?\n22. if a measurement on a tape measure is 0.375 inches, what is it as a fraction found on the tape measure?\n23. a tape measure shows a length of 7/8 inches. what is this length in fraction form?\n24. you measure a piece of wood on a tape measure, and it reads 0.625 inches. what is this measurement as a fraction?\n25. if you have a measurement of 0.875 inches on a tape measure, what is it as a fraction found on the tape measure?

Answer

Explanation:

Step1: Divide numerator by denominator

To convert a fraction to a decimal, divide the numerator by the denominator. For $\frac{3}{16}$, we calculate $3\div16$. $$3\div16 = 0.1875$$

Step2: Convert decimal to fraction

To convert a decimal to a fraction, we use the place - value of the decimal. For $0.375$, since $0.375=\frac{375}{1000}$, and then simplify by dividing both numerator and denominator by their greatest common divisor (GCD). The GCD of 375 and 1000 is 125. $$\frac{375\div125}{1000\div125}=\frac{3}{8}$$

Step3: Already in fraction form

The fraction $\frac{7}{8}$ is already in fraction form.

Step4: Convert decimal to fraction

For $0.625$, we have $0.625=\frac{625}{1000}$. The GCD of 625 and 1000 is 125. $$\frac{625\div125}{1000\div125}=\frac{5}{8}$$

Step5: Convert decimal to fraction

For $0.875$, we have $0.875=\frac{875}{1000}$. The GCD of 875 and 1000 is 125. $$\frac{875\div125}{1000\div125}=\frac{7}{8}$$

Answer:

  1. $0.1875$
  2. $\frac{3}{8}$
  3. $\frac{7}{8}$
  4. $\frac{5}{8}$
  5. $\frac{7}{8}$