Question

write each fraction as a decimal rounded to the nearest hundredth.
(n) $\frac{14}{15}$ (a) $\frac{19}{17}$ (t) $\frac{5}{12}$ (h) $\frac{1}{7}$
(o) $\frac{39}{64}$ (t) $\frac{3}{16}$ (e) $\frac{4}{11}$ (a) $\frac{2}{55}$
ii. write each fraction as a decimal rounded to the nearest thousandth.
(e) $\frac{5}{12}$ (t) $\frac{9}{32}$ (u) $\frac{23}{27}$ (r) $\frac{14}{15}$
(o) $\frac{39}{64}$ (i) $\frac{3}{16}$ (n) $\frac{4}{11}$ (w) $\frac{2}{55}$

Explanation:

Step1: Divide numerator by denominator

To convert a fraction $\frac{a}{b}$ to a decimal, we perform the division $a\div b$. For example, for $\frac{1}{7}$, we calculate $1\div7 = 0.142857\cdots$.

Step2: Round the result

We round the resulting decimal to the nearest thousandth (three - decimal places). For $0.142857\cdots$, since the fourth - decimal place is 8 which is greater than or equal to 5, we round up the third - decimal place. So $0.142857\cdots\approx0.143$. We repeat these two steps for each of the given fractions.

Answer:

1. For $\frac{1}{7}$:

• $1\div7\approx0.143$ (rounded to the nearest thousandth)

1. For $\frac{2}{55}$:

• $2\div55\approx0.036$ (rounded to the nearest thousandth)

1. For $\frac{9}{32}$:

• $9\div32 = 0.28125\approx0.281$ (rounded to the nearest thousandth)

1. For $\frac{23}{27}$:

• $23\div27\approx0.852$ (rounded to the nearest thousandth)

1. For $\frac{4}{11}$:

• $4\div11\approx0.364$ (rounded to the nearest thousandth)

1. For $\frac{3}{16}$:

• $3\div16 = 0.1875\approx0.188$ (rounded to the nearest thousandth)

1. For $\frac{14}{15}$:

• $14\div15\approx0.933$ (rounded to the nearest thousandth)