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?

Mathematics
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?

ScanSolve AI Answer

Answer

110\frac{1}{10}

2.3 Step 1: Calculate the total fraction of salary spent on rent and petrol. Totalspent=12+25Total spent = \frac{1}{2} + \frac{2}{5} To add these fractions, find a common denominator, which is 10. 12+25=1×52×5+2×25×2=510+410=5+410=910\frac{1}{2} + \frac{2}{5} = \frac{1 \times 5}{2 \times 5} + \frac{2 \times 2}{5 \times 2} = \frac{5}{10} + \frac{4}{10} = \frac{5+4}{10} = \frac{9}{10} Step 2: Calculate the fraction of salary left. The total salary is represented by 1. Fractionleft=1910=1010910=110Fraction left = 1 - \frac{9}{10} = \frac{10}{10} - \frac{9}{10} = \frac{1}{10} The fraction left for food and other necessities is 110\boxed{\frac{1}{10}}.

3.1.1 To arrange the decimal numbers 1,008;1,8;1,08;1,75;1,881,008; 1,8; 1,08; 1,75; 1,88 in descending order, compare them from largest to smallest. Comparing the numbers: 1,881,88 (largest) 1,81,8 1,751,75 1,081,08 1,0081,008 (smallest)

The numbers in descending order are: 1,88;1,8;1,75;1,08;1,008\boxed{1,88; 1,8; 1,75; 1,08; 1,008}.

3.1.2 Compare 0,90,9 and 0,9000,900. Adding zeros to the end of a decimal number does not change its value. 0,9=0,90=0,9000,9 = 0,90 = 0,900 Therefore, 0,9=0,9000,9 = 0,900.

3.2 Convert 25\frac{2}{5} to a decimal fraction. To convert a fraction to a decimal, divide the numerator by the denominator. 25=2÷5=0,4\frac{2}{5} = 2 \div 5 = 0,4 The decimal fraction is 0,4\boxed{0,4}.

3.3 Round off 74,15374,153 to two decimal places. The first two decimal places are 1515. The digit in the third decimal place is 33. Since 33 is less than 55, we round down (keep the second decimal place as it is). 74,15374,1574,153 \approx 74,15 Rounded to two decimal places, the number is 74,15\boxed{74,15}.

3.4 a) Calculate 2,5+16,232,5 + 16,23. Align the decimal points and add. 2,502,50 +16,23+ 16,23 18,73\overline{18,73} The sum is 18,73\boxed{18,73}.

3.4 b) Calculate 9,51(2,1+1,05)9,51 - (2,1 + 1,05). Step 1: Perform the addition inside the parentheses first. 2,1+1,05=3,152,1 + 1,05 = 3,15 Step 2: Perform the subtraction. 9,513,159,51 - 3,15 9,519,51 3,15- 3,15 6,36\overline{6,36} The result is 6,36\boxed{6,36}.

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Quick Answer

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.

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?
Mathematics

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
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. (1)/(2) + (2)/(5) = (1 × 5)/(2 × 5) + (2 × 2)/(5 × 2) = (5)/(10) + (4)/(10) = (5+4)/(10) = (9)/(10) Step 2: Calculate the fraction of salary left. The total salary is represented by 1. Fraction left = 1 - (9)/(10) = (10)/(10) - (9)/(10) = (1)/(10) The fraction left for food and other necessities is (1)/(10). 3.1.1 To arrange the decimal numbers 1,008; 1,8; 1,08; 1,75; 1,88 in descending order, compare them from largest to smallest. Comparing the numbers: 1,88 (largest) 1,8 1,75 1,08 1,008 (smallest) The numbers in descending order are: 1,88; 1,8; 1,75; 1,08; 1,008. 3.1.2 Compare 0,9 and 0,900. Adding zeros to the end of a decimal number does not change its value. 0,9 = 0,90 = 0,900 Therefore, 0,9 = 0,900. 3.2 Convert (2)/(5) to a decimal fraction. To convert a fraction to a decimal, divide the numerator by the denominator. (2)/(5) = 2 ÷ 5 = 0,4 The decimal fraction is 0,4. 3.3 Round off 74,153 to two decimal places. The first two decimal places are 15. The digit in the third decimal place is 3. Since 3 is less than 5, we round down (keep the second decimal place as it is). 74,153 ≈ 74,15 Rounded to two decimal places, the number is 74,15. 3.4 a) Calculate 2,5 + 16,23. Align the decimal points and add. 2,50 + 16,23 18,73 The sum is 18,73. 3.4 b) Calculate 9,51 - (2,1 + 1,05). Step 1: Perform the addition inside the parentheses first. 2,1 + 1,05 = 3,15 Step 2: Perform the subtraction. 9,51 - 3,15 9,51 3,15 6,36 The result is 6,36.