How can I express 1.75 as a fraction?

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To convert the decimal 1.75 into a fraction, follow these steps:

  1. Recognize that 1.75 can be broken down into two parts: the whole number 1 and the decimal 0.75.
  2. Convert the decimal portion 0.75 into a fraction. The 75 in 0.75 can be expressed as 75/100 because there are two decimal places.
  3. Simplify 75/100 by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 25:
    • 75 ÷ 25 = 3
    • 100 ÷ 25 = 4
  4. This simplifies 75/100 to 3/4.
  5. Now combine 1 (which is 1/1) with 3/4 into a single fraction. To do this, convert 1 into a fraction with a common denominator:
    • 1 = 4/4
  6. Add the two fractions together:
    • 4/4 + 3/4 = 7/4
  7. Thus, 1.75 as a fraction is 7/4.

In summary, 1.75 can be expressed as the fraction 7/4.

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