QUESTION 6 Express the following decimals as common fractions (sho $$ \begin{array}{lll} ext { i) } 0,6 & ext { ii) } 0,15 & ext { iii) } 0,123 \ ext { v) } 0,15 & ext { vi) } 0,123 & \end{array} $$ OUESTION 7

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QUESTION 6 Express the following decimals as common fractions (sho $$ \begin{array}{lll}	ext { i) } 0,6 & 	ext { ii) } 0,15 & 	ext { iii) } 0,123 \ 	ext { v) } 0,15 & 	ext { vi) } 0,123 & \end{array} $$ OUESTION 7

UpStudy AI · Accepted Answer

Certainly! Let's convert each of the given decimals into common (fractional) forms.

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### **QUESTION 6**

**Express the following decimals as common fractions:**

#### **i) $$0.6$$**

1. **Write the decimal as a fraction with denominator 10:**
   $$
   0.6 = \frac{6}{10}
   $$
2. **Simplify the fraction by dividing numerator and denominator by their greatest common divisor (GCD), which is 2:**
   $$
   \frac{6}{10} = \frac{6 \div 2}{10 \div 2} = \frac{3}{5}
   $$

**Answer:** $$\boxed{\dfrac{3}{5}}$$

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#### **ii) $$0.15$$**

1. **Write the decimal as a fraction with denominator 100:**
   $$
   0.15 = \frac{15}{100}
   $$
2. **Simplify the fraction by dividing numerator and denominator by their GCD, which is 5:**
   $$
   \frac{15}{100} = \frac{15 \div 5}{100 \div 5} = \frac{3}{20}
   $$

**Answer:** $$\boxed{\dfrac{3}{20}}$$

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#### **iii) $$0.123$$**

1. **Write the decimal as a fraction with denominator 1000:**
   $$
   0.123 = \frac{123}{1000}
   $$
2. **Check for simplification:**
   - The numerator $$123$$ can be factored into $$3 \times 41$$.
   - The denominator $$1000$$ factors into $$2^3 \times 5^3$$.
   - There are no common factors between the numerator and denominator other than 1.

**Answer:** $$\boxed{\dfrac{123}{1000}}$$

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#### **v) $$0.15$$** *(Note: This appears to be a repetition of part ii)*

**Answer:** As above, $$\boxed{\dfrac{3}{20}}$$

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#### **vi) $$0.123$$** *(Note: This appears to be a repetition of part iii)*

**Answer:** As above, $$\boxed{\dfrac{123}{1000}}$$

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**Summary of Answers:**

- **i) $$0.6 = \dfrac{3}{5}$$**
- **ii) $$0.15 = \dfrac{3}{20}$$**
- **iii) $$0.123 = \dfrac{123}{1000}$$**
- **v) $$0.15 = \dfrac{3}{20}$$**
- **vi) $$0.123 = \dfrac{123}{1000}$$**

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Feel free to provide **QUESTION 7** or any other queries you have!
Here are the decimal fractions converted to common fractions: 1. $$0.6 = \dfrac{3}{5}$$ 2. $$0.15 = \dfrac{3}{20}$$ 3. $$0.123 = \dfrac{123}{1000}$$ 4. $$0.15 = \dfrac{3}{20}$$ 5. $$0.123 = \dfrac{123}{1000}$$

QUESTION 6 Express the following decimals as common fractions (sho \( \begin{array}{lll}\text { i) } 0,6 & \text { ii) } 0,15 & \text { iii) } 0,123 \\ \text { v) } 0,15 & \text { vi) } 0,123 & \end{array} \) OUESTION 7

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