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.
Sam's dad spends 1/2 of his salary on rent and 2/5 on petrol. What fraction is left spend on food and other necessities for the month?

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2.3 Step 1: Calculate the total fraction of salary spent on rent and petrol. To add these fractions, find a common denominator, which is 10. Step 2: Calculate the fraction of salary left. The total salary is represented by 1. The fraction left for food and other necessities is .
3.1.1 To arrange the decimal numbers in descending order, compare them from largest to smallest. Comparing the numbers: (largest) (smallest)
The numbers in descending order are: .
3.1.2 Compare and . Adding zeros to the end of a decimal number does not change its value. Therefore, .
3.2 Convert to a decimal fraction. To convert a fraction to a decimal, divide the numerator by the denominator. The decimal fraction is .
3.3 Round off to two decimal places. The first two decimal places are . The digit in the third decimal place is . Since is less than , we round down (keep the second decimal place as it is). Rounded to two decimal places, the number is .
3.4 a) Calculate . Align the decimal points and add. The sum is .
3.4 b) Calculate . Step 1: Perform the addition inside the parentheses first. Step 2: Perform the subtraction. The result is .
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2.3 Step 1: Calculate the total fraction of salary spent on rent and petrol. Total spent = (1)/(2) + (2)/(5) To add these fractions, find a common denominator, which is 10.