Fractions Decimals and Percents Worksheets - Math Monks - Free Printable

To solve the problem of converting fractions, decimals, and percents, we will fill in the missing values step by step. Let's go through each row systematically.

Row 1:

- Fraction: \( \frac{3}{10} \)
- Decimal: Divide the numerator by the denominator:
\[
\frac{3}{10} = 0.3
\]
- Percent: Multiply the decimal by 100:
\[
0.3 \times 100 = 30\%
\]

Completed Row 1:
- Fraction: \( \frac{3}{10} \)
- Decimal: \( 0.3 \)
- Percent: \( 30\% \)

---

Row 2:

- Decimal: \( 0.35 \)
- Fraction: Convert the decimal to a fraction. Since \( 0.35 = \frac{35}{100} \), simplify:
\[
\frac{35}{100} = \frac{7}{20}
\]
- Percent: Multiply the decimal by 100:
\[
0.35 \times 100 = 35\%
\]

Completed Row 2:
- Fraction: \( \frac{7}{20} \)
- Decimal: \( 0.35 \)
- Percent: \( 35\% \)

---

Row 3:

- Percent: \( 35.5\% \)
- Decimal: Divide the percent by 100:
\[
35.5\% = \frac{35.5}{100} = 0.355
\]
- Fraction: Convert the decimal to a fraction. Since \( 0.355 = \frac{355}{1000} \), simplify:
\[
\frac{355}{1000} = \frac{71}{200}
\]

Completed Row 3:
- Fraction: \( \frac{71}{200} \)
- Decimal: \( 0.355 \)
- Percent: \( 35.5\% \)

---

Row 4:

- Fraction: \( \frac{2}{5} \)
- Decimal: Divide the numerator by the denominator:
\[
\frac{2}{5} = 0.4
\]
- Percent: Multiply the decimal by 100:
\[
0.4 \times 100 = 40\%
\]

Completed Row 4:
- Fraction: \( \frac{2}{5} \)
- Decimal: \( 0.4 \)
- Percent: \( 40\% \)

---

Row 5:

- Decimal: \( 0.78 \)
- Fraction: Convert the decimal to a fraction. Since \( 0.78 = \frac{78}{100} \), simplify:
\[
\frac{78}{100} = \frac{39}{50}
\]
- Percent: Multiply the decimal by 100:
\[
0.78 \times 100 = 78\%
\]

Completed Row 5:
- Fraction: \( \frac{39}{50} \)
- Decimal: \( 0.78 \)
- Percent: \( 78\% \)

---

Row 6:

- Percent: \( 76.47\% \)
- Decimal: Divide the percent by 100:
\[
76.47\% = \frac{76.47}{100} = 0.7647
\]
- Fraction: Convert the decimal to a fraction. Since \( 0.7647 = \frac{7647}{10000} \), this fraction is already in its simplest form (as 7647 and 10000 have no common factors other than 1).

Completed Row 6:
- Fraction: \( \frac{7647}{10000} \)
- Decimal: \( 0.7647 \)
- Percent: \( 76.47\% \)

---

Row 7:

- Decimal: \( 0.004 \)
- Fraction: Convert the decimal to a fraction. Since \( 0.004 = \frac{4}{1000} \), simplify:
\[
\frac{4}{1000} = \frac{1}{250}
\]
- Percent: Multiply the decimal by 100:
\[
0.004 \times 100 = 0.4\%
\]

Completed Row 7:
- Fraction: \( \frac{1}{250} \)
- Decimal: \( 0.004 \)
- Percent: \( 0.4\% \)

---

Row 8:

- Percent: \( 9.31\% \)
- Decimal: Divide the percent by 100:
\[
9.31\% = \frac{9.31}{100} = 0.0931
\]
- Fraction: Convert the decimal to a fraction. Since \( 0.0931 = \frac{931}{10000} \), this fraction is already in its simplest form.

Completed Row 8:
- Fraction: \( \frac{931}{10000} \)
- Decimal: \( 0.0931 \)
- Percent: \( 9.31\% \)

---

Row 9:

- Fraction: \( \frac{20}{27} \)
- Decimal: Divide the numerator by the denominator:
\[
\frac{20}{27} \approx 0.74074074\ldots \quad (\text{repeating decimal})
\]
For simplicity, we can write it as \( 0.7407 \) (rounded to four decimal places).
- Percent: Multiply the decimal by 100:
\[
0.7407 \times 100 \approx 74.07\%
\]

Completed Row 9:
- Fraction: \( \frac{20}{27} \)
- Decimal: \( 0.7407 \)
- Percent: \( 74.07\% \)

---

Row 10:

- Percent: \( 39.35\% \)
- Decimal: Divide the percent by 100:
\[
39.35\% = \frac{39.35}{100} = 0.3935
\]
- Fraction: Convert the decimal to a fraction. Since \( 0.3935 = \frac{3935}{10000} \), simplify:
\[
\frac{3935}{10000} = \frac{787}{2000} \quad (\text{simplified by dividing numerator and denominator by 5})
\]

Completed Row 10:
- Fraction: \( \frac{787}{2000} \)
- Decimal: \( 0.3935 \)
- Percent: \( 39.35\% \)

---

Row 11:

- Fraction: \( \frac{16}{31} \)
- Decimal: Divide the numerator by the denominator:
\[
\frac{16}{31} \approx 0.51612903\ldots \quad (\text{repeating decimal})
\]
For simplicity, we can write it as \( 0.5161 \) (rounded to four decimal places).
- Percent: Multiply the decimal by 100:
\[
0.5161 \times 100 \approx 51.61\%
\]

Completed Row 11:
- Fraction: \( \frac{16}{31} \)
- Decimal: \( 0.5161 \)
- Percent: \( 51.61\% \)

---

Final Answer:

\[
\boxed{
\begin{array}{|c|c|c|c|}
\hline
\text{No} & \text{Fraction} & \text{Decimal} & \text{Percent} \\
\hline
1 & \frac{3}{10} & 0.3 & 30\% \\
2 & \frac{7}{20} & 0.35 & 35\% \\
3 & \frac{71}{200} & 0.355 & 35.5\% \\
4 & \frac{2}{5} & 0.4 & 40\% \\
5 & \frac{39}{50} & 0.78 & 78\% \\
6 & \frac{7647}{10000} & 0.7647 & 76.47\% \\
7 & \frac{1}{250} & 0.004 & 0.4\% \\
8 & \frac{931}{10000} & 0.0931 & 9.31\% \\
9 & \frac{20}{27} & 0.7407 & 74.07\% \\
10 & \frac{787}{2000} & 0.3935 & 39.35\% \\
11 & \frac{16}{31} & 0.5161 & 51.61\% \\
\hline
\end{array}
}
\]