Question

complete the parts below.
(a) fill in the blanks.
write \\(\frac{7}{20}\\) as a decimal.
write 25\\% as a decimal.

Explanation:

For writing $\boldsymbol{\frac{7}{20}}$ as a decimal:

Step1: Divide 7 by 20

To convert a fraction to a decimal, we perform the division. So we calculate $7 \div 20$.
We know that $20\times0.3 = 6$, and $7 - 6 = 1$. Then we bring down a zero (making it 10), and $20\times0.05 = 1$. So combining these, $0.3 + 0.05 = 0.35$. So $7\div20 = 0.35$.

Step2: Verify (optional)

Alternatively, we can multiply numerator and denominator by 5 to get a denominator of 100. $\frac{7\times5}{20\times5}=\frac{35}{100}$, and $\frac{35}{100}=0.35$ (since dividing by 100 moves the decimal two places left).

For writing $\boldsymbol{25\%}$ as a decimal:

Step1: Recall percentage to decimal conversion

To convert a percentage to a decimal, we divide the percentage value by 100. So for $25\%$, we do $25\div100$.

Step2: Perform the division

Dividing 25 by 100, we move the decimal point two places to the left (because dividing by 100 is equivalent to moving the decimal two places left in the number). So $25\div100 = 0.25$.

Answer:

s:

• $\frac{7}{20}$ as a decimal: $0.35$
• $25\%$ as a decimal: $0.25$