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Convert to SO F 1/10, 1/1000, TOX 1/14500, 100x 1/45, 500x 1/500

Mathematics

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Step-by-step solution

10 steps

The image shows a set of math problems under the heading "Convert to SOF". It appears "SOF" might be a typo or an abbreviation for "Standard Form" or "Decimal Form". Given the context of fractions, converting to decimal form is the most common interpretation. I will convert each fraction or expression to its decimal form.

: Convert 110\frac{1}{10} to decimal form.

  1. Divide the numerator by the denominator.

    110=0.1\frac{1}{10} = 0.1

    The decimal form of 110\frac{1}{10} is 0.1.

    0.1\boxed{\text{0.1}}

    : Convert 11000\frac{1}{1000} to decimal form.

  2. Divide the numerator by the denominator.

    11000=0.001\frac{1}{1000} = 0.001

    The decimal form of 11000\frac{1}{1000} is 0.001.

    0.001\boxed{\text{0.001}}

    : Convert 10×1450010 \times \frac{1}{4500} to decimal form.

  3. Multiply 10 by the fraction.

    10×14500=10450010 \times \frac{1}{4500} = \frac{10}{4500}
  4. Simplify the fraction.

    104500=1450\frac{10}{4500} = \frac{1}{450}
  5. Divide the numerator by the denominator.

    1450≈0.002222...\frac{1}{450} \approx 0.002222...

    The decimal form of 10×1450010 \times \frac{1}{4500} is approximately 0.0022.

    0.0022\boxed{\text{0.0022}}

    : Convert 100×145100 \times \frac{1}{45} to decimal form.

  6. Multiply 100 by the fraction.

    100×145=10045100 \times \frac{1}{45} = \frac{100}{45}
  7. Simplify the fraction by dividing both numerator and denominator by their greatest common divisor, which is 5.

    10045=100÷545÷5=209\frac{100}{45} = \frac{100 \div 5}{45 \div 5} = \frac{20}{9}
  8. Divide the numerator by the denominator.

    209=2.222...\frac{20}{9} = 2.222...

    The decimal form of 100×145100 \times \frac{1}{45} is approximately 2.22.

    2.22\boxed{\text{2.22}}

    : Convert 500×1500500 \times \frac{1}{500} to decimal form.

  9. Multiply 500 by the fraction.

    500×1500=500500500 \times \frac{1}{500} = \frac{500}{500}
  10. Simplify the fraction.

    500500=1\frac{500}{500} = 1

    The decimal form of 500×1500500 \times \frac{1}{500} is 1.

    1\boxed{\text{1}}
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