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BMST - Basic Math and Science Fractions, Decimals, and Number Operations Questions and Answers Flashcards

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  1. A machinist measures a shaft diameter as 2.875 inches. She needs to express this as a fraction in lowest terms. Which of the following correctly represents 2.875 as a mixed number?

    Answer: 2 7/8

    0.875 = 875/1000. The GCF of 875 and 1000 is 125. Dividing: 875 ÷ 125 = 7 and 1000 ÷ 125 = 8, giving 7/8. So 2.875 = 2 7/8.

  2. Which of the following expressions has the GREATEST value?

    Answer: (5/6) × (7/5)

    (3/4) ÷ (2/3) = 9/8 = 1.125. (5/6) × (7/5) = 7/6 ≈ 1.167. (7/8) + (3/16) = 17/16 = 1.0625. (11/12) − (1/6) = 9/12 = 0.75. The greatest value is 7/6 ≈ 1.167.

  3. A chemist combines 1/3 liter, 3/8 liter, and 5/12 liter of solvent. What is the total volume in liters?

    Answer: 1 1/8

    The LCD of 3, 8, and 12 is 24. Converting: 1/3 = 8/24, 3/8 = 9/24, 5/12 = 10/24. Sum = 27/24 = 9/8 = 1 1/8.

  4. A technician earns $18.75 per hour and works exactly 37.6 hours in a week. What is her gross weekly pay?

    Answer: $705.00

    18.75 × 37.6 = 18.75 × 37 + 18.75 × 0.6 = 693.75 + 11.25 = $705.00.

  5. When 0.00045 is divided by 0.0009, the result is:

    Answer: 0.5

    Multiply both values by 10,000 to clear decimals: 4.5 ÷ 9 = 0.5. Equivalently, (45 × 10⁻⁵) ÷ (9 × 10⁻⁴) = 5 × 10⁻¹ = 0.5.

  6. A blueprint calls for a beam length of 4 5/16 feet. An engineer subtracts 7/8 foot for a joint allowance. What is the final beam length?

    Answer: 3 7/16 feet

    Convert 7/8 to sixteenths: 7/8 = 14/16. Since 5/16 < 14/16, borrow 1 from 4: 3 + 21/16. Then 3 21/16 − 14/16 = 3 7/16 feet.