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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

ScanSolve AI Answer

Step-by-step solution

4 steps

2.3

  1. Calculate the total fraction of salary spent on rent and petrol.

    Total spent=12+25\text{Total 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}
  2. Calculate the fraction of salary left.

    The total salary is represented by 1.

    Fraction left=1−910=1010−910=110\text{Fraction 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:
    1,88 (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\boxed{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=0,9000,9 = 0,90 = 0,900

    Therefore, 0,9=0,9000,9 \boxed{=} 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 74,153 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≈74,1574,153 \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).

  3. Perform the addition inside the parentheses first.

    2,1+1,05=3,152,1 + 1,05 = 3,15
  4. Perform the subtraction.

    9,51−3,159,51 - 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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