Express 0.4 as a fraction in its simplest form.

Question

Express 0.4 as a fraction in its simplest form.

Asked on March 26, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

Accepted Answer · 2026-03-26T06:17:44.146Z

Here are the solutions to the questions: 1. a) Express $0.4$ as a fraction in its simplest form. Step 1: Write the decimal as a fraction. $$0.4 = \frac{4}{10}$$ Step 2: Simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 2. $$\frac{4 \div 2}{10 \div 2} = \frac{2}{5}$$ The fraction in its simplest form is $\boxed{\frac{2}{5}}$. 1. b) Mwajuma assumed $\sqrt{0.4}$ to be $0.67$. Find the percentage error in her assumption. Step 1: Calculate the actual

Accepted Answer · 2026-03-26T06:17:44.146Z

Here are the solutions to the questions: 1. a) Express $0.4$ as a fraction in its simplest form. Step 1: Write the decimal as a fraction. $$0.4 = \frac{4}{10}$$ Step 2: Simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 2. $$\frac{4 \div 2}{10 \div 2} = \frac{2}{5}$$ The fraction in its simplest form is $\boxed{\frac{2}{5}}$. 1. b) Mwajuma assumed $\sqrt{0.4}$ to be $0.67$. Find the percentage error in her assumption. Step 1: Calculate the actual