Write the decimals as common fractions, $$ \left(\frac{a}{b} ight) $$ where $$ a, b \in \mathbb{Z} $$ : $$ \begin{array}{llll} ext { a) } 0, \dot{8} & ext { b) } 0, \ddot{1} & ext { c) } 0, \dot{2} 7 \dot{5} & ext { d) } 1,2 \dot{5} \ ext { e) } 0,238 & ext { f) } 0,7 & ext { g) } 4,25 & ext { h) } 0,0 \dot{5} \ ext { i) } 7,0145 & ext { j) } 0,825 & ext { k) } 0,36 & ext { 1) } 0,0025 \ ext { m) } 0,108 & ext { n) } 0,008 & ext { o) } \sqrt{12 \frac{1}{4}} & ext { p) }-0,16\end{array} $$

Question

Write the decimals as common fractions, $$ \left(\frac{a}{b}ight) $$ where $$ a, b \in \mathbb{Z} $$ : $$ \begin{array}{llll}	ext { a) } 0, \dot{8} & 	ext { b) } 0, \ddot{1} & 	ext { c) } 0, \dot{2} 7 \dot{5} & 	ext { d) } 1,2 \dot{5} \ 	ext { e) } 0,238 & 	ext { f) } 0,7 & 	ext { g) } 4,25 & 	ext { h) } 0,0 \dot{5} \ 	ext { i) } 7,0145 & 	ext { j) } 0,825 & 	ext { k) } 0,36 & 	ext { 1) } 0,0025 \ 	ext { m) } 0,108 & 	ext { n) } 0,008 & 	ext { o) } \sqrt{12 \frac{1}{4}} & 	ext { p) }-0,16\end{array} $$

UpStudy AI · Accepted Answer

Sure! Below are the decimal numbers converted into common fractions $$ \left(\frac{a}{b}\right) $$ where $$ a, b \in \mathbb{Z} $$:

### a) $$ 0.\overline{8} $$
$$ 0.\overline{8} = \frac{8}{9} $$

### b) $$ 0.\overline{1} $$
$$ 0.\overline{1} = \frac{1}{9} $$

### c) $$ 0.\overline{275} $$
$$ 0.\overline{275} = \frac{275}{999} $$

### d) $$ 1.2\overline{5} $$
$$ 1.2\overline{5} = \frac{113}{90} $$

### e) $$ 0.238 $$
$$ 0.238 = \frac{119}{500} $$

### f) $$ 0.7 $$
$$ 0.7 = \frac{7}{10} $$

### g) $$ 4.25 $$
$$ 4.25 = \frac{17}{4} $$

### h) $$ 0.0\overline{5} $$
$$ 0.0\overline{5} = \frac{1}{18} $$

### i) $$ 7.0145 $$
$$ 7.0145 = \frac{14029}{2000} $$

### j) $$ 0.825 $$
$$ 0.825 = \frac{33}{40} $$

### k) $$ 0.36 $$
$$ 0.36 = \frac{9}{25} $$

### l) $$ 0.0025 $$
$$ 0.0025 = \frac{1}{400} $$

### m) $$ 0.108 $$
$$ 0.108 = \frac{27}{250} $$

### n) $$ 0.008 $$
$$ 0.008 = \frac{1}{125} $$

### o) $$ \sqrt{12 \frac{1}{4}} $$
First, convert the mixed number to an improper fraction:
$$ 12 \frac{1}{4} = \frac{49}{4} $$
Then take the square root:
$$ \sqrt{\frac{49}{4}} = \frac{7}{2} $$

### p) $$ -0.16 $$
$$ -0.16 = -\frac{4}{25} $$

---

### Summary of All Conversions:

$$
\begin{array}{ll}
\text{a) } 0.\overline{8} & = \frac{8}{9} \
\text{b) } 0.\overline{1} & = \frac{1}{9} \
\text{c) } 0.\overline{275} & = \frac{275}{999} \
\text{d) } 1.2\overline{5} & = \frac{113}{90} \
\text{e) } 0.238 & = \frac{119}{500} \
\text{f) } 0.7 & = \frac{7}{10} \
\text{g) } 4.25 & = \frac{17}{4} \
\text{h) } 0.0\overline{5} & = \frac{1}{18} \
\text{i) } 7.0145 & = \frac{14029}{2000} \
\text{j) } 0.825 & = \frac{33}{40} \
\text{k) } 0.36 & = \frac{9}{25} \
\text{l) } 0.0025 & = \frac{1}{400} \
\text{m) } 0.108 & = \frac{27}{250} \
\text{n) } 0.008 & = \frac{1}{125} \
\text{o) } \sqrt{12 \frac{1}{4}} & = \frac{7}{2} \
\text{p) } -0.16 & = -\frac{4}{25} \
\end{array}
$$
Here are the decimal numbers converted into common fractions: a) $$ 0.\overline{8} = \frac{8}{9} $$ b) $$ 0.\overline{1} = \frac{1}{9} $$ c) $$ 0.\overline{275} = \frac{275}{999} $$ d) $$ 1.2\overline{5} = \frac{113}{90} $$ e) $$ 0.238 = \frac{119}{500} $$ f) $$ 0.7 = \frac{7}{10} $$ g) $$ 4.25 = \frac{17}{4} $$ h) $$ 0.0\overline{5} = \frac{1}{18} $$ i) $$ 7.0145 = \frac{14029}{2000} $$ j) $$ 0.825 = \frac{33}{40} $$ k) $$ 0.36 = \frac{9}{25} $$ l) $$ 0.0025 = \frac{1}{400} $$ m) $$ 0.108 = \frac{27}{250} $$ n) $$ 0.008 = \frac{1}{125} $$ o) $$ \sqrt{12 \frac{1}{4}} = \frac{7}{2} $$ p) $$ -0.16 = -\frac{4}{25} $$

Write the decimals as common fractions, where :

Solución de inteligencia artificial de Upstudy

Responder

Solución

Extra Insights

preguntas relacionadas

Latest Arithmetic Questions