Q1.Change 13.472 to percentage. Q2. Change 161.52 to fraction and percentage

Mathematics

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Step-by-step solution

7 steps

Okay, Magreat, let's break these down.

Q1. Change 13.472 to percentage.

  1. To change a decimal to a percentage, multiply the decimal by 100.

    13.472 × 100

  2. Perform the multiplication.

    13.472 × 100 = 1347.2%

    Q2. Change 161.52 to fraction and percentage.

    Fraction:

  3. Write the decimal as a mixed number with the decimal part over a power of 10.

    161.52 = 161 and 52/100

  4. Simplify the fractional part by finding the greatest common divisor (GCD) of the numerator and denominator.

    The GCD of 52 and 100 is 4.
    52 ÷ 4 = 13
    100 ÷ 4 = 25
    So, the simplified mixed number is 161 and (13)/(25).

  5. Convert the mixed number to an improper fraction.

    161 and (13)/(25) = (161 × 25 + 13)/(25)
    = (4025 + 13)/(25)
    = (4038)/(25)

    Percentage:

  6. To change a decimal to a percentage, multiply the decimal by 100.

    161.52 × 100

  7. Perform the multiplication.

    161.52 × 100 = 16152%

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