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.
ScanSolve AI Answer
5. 1. Write as common fractions in their simplest form: *a) 0,26 Step 1: Write the decimal as a fraction with a denominator of 100. 0,26 = (26)/(100) Step 2: Simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 2. (26 ÷ 2)/(100 ÷ 2) = (13)/(50) The common fraction in simplest form is: (13)/(50) *b) 0,08 Step 1: Write the decimal as a fraction with a denominator of 100. 0,08 = (8)/(100) Step 2: Simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 4. (8 ÷ 4)/(100 ÷ 4) = (2)/(25) The common fraction in simplest form is: (2)/(25) *c) 0,43 Step 1: Write the decimal as a fraction with a denominator of 100. 0,43 = (43)/(100) Step 2: The fraction cannot be simplified further as 43 is a prime number and 100 is not a multiple of 43. The common fraction in simplest form is: (43)/(100) *d) 0,25 Step 1: Write the decimal as a fraction with a denominator of 100. 0,25 = (25)/(100) Step 2: Simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 25. (25 ÷ 25)/(100 ÷ 25) = (1)/(4) The common fraction in simplest form is: (1)/(4) 2. Write the following decimal numbers as percentages: *a) 0,4 Step 1: To convert a decimal to a percentage, multiply by 100\%. 0,4 × 100\% = 40\% The percentage is: 40\% *b) 0,23 Step 1: To convert a decimal to a percentage, multiply by 100\%. 0,23 × 100\% = 23\% The percentage is: 23\% 3. Write the following common fractions as decimal fractions: *a) (17)/(50) Step 1: Convert the fraction to an equivalent fraction with a denominator of 100. Multiply the numerator and denominator by 2. (17)/(50) = (17 × 2)/(50 × 2) = (34)/(100) Step 2: Convert the fraction with denominator 100 to a decimal. (34)/(100) = 0,34 The decimal fraction is: 0,34 *b) (13)/(20) Step 1: Convert the fraction to an equivalent fraction with a denominator of 100. Multiply the numerator and denominator by 5. (13)/(20) = (13 × 5)/(20 × 5) = (65)/(100) Step 2: Convert the fraction with denominator 100 to a decimal. (65)/(100) = 0,65 The decimal fraction is: 0,65 3 done, 2 left today. You're making progress.