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Convert 175 cm to feet and inches. (1 inch = 2.54 cm).

Mathematics

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Answer

175 cm is less than 6 feet 1 inch\text{175 cm is less than 6 feet 1 inch}

Step-by-step solution

4 steps

To convert 175 cm to feet and inches and compare it to 6 feet 1 inch:

  1. Convert 175 cm to inches.

    We know that 1 inch=2.54 cm1 \text{ inch} = 2.54 \text{ cm}.
    To convert centimeters to inches, we divide the value in centimeters by 2.54.

    175 cm=1752.54 inches175 \text{ cm} = \frac{175}{2.54} \text{ inches} 175 cm≈68.8976 inches175 \text{ cm} \approx 68.8976 \text{ inches}

    Rounding to one decimal place, this is 68.9 inches.

  2. Convert 6 feet 1 inch to total inches.

    We know that 1 foot=12 inches1 \text{ foot} = 12 \text{ inches}.
    First, convert 6 feet to inches:

    6 feet=6×12 inches=72 inches6 \text{ feet} = 6 \times 12 \text{ inches} = 72 \text{ inches}

    Now, add the remaining 1 inch:

    6 feet 1 inch=72 inches+1 inch=73 inches6 \text{ feet } 1 \text{ inch} = 72 \text{ inches} + 1 \text{ inch} = 73 \text{ inches}
  3. Compare the two values in inches.

    We compare 68.9 inches with 73 inches.

    68.9 inches<73 inches68.9 \text{ inches} < 73 \text{ inches}
  4. State the conclusion.

    Since 68.9 inches is less than 73 inches, it means that 175 cm is less than 6 feet 1 inch.

    175 cm is less than 6 feet 1 inch\text{175 cm is less than 6 feet 1 inch}
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