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Write as fractions of a kg.

Mathematics

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Step-by-step solution

20 steps

To write grams as fractions of a kilogram, we use the conversion factor 1 kg=1000 g1 \text{ kg} = 1000 \text{ g}. Therefore, to convert grams to kilograms, we divide the number of grams by 1000.

Part a· 2 steps

  1. Convert 500 g500 \text{ g} to kilograms by dividing by 1000.

    500 g=5001000 kg500 \text{ g} = \frac{500}{1000} \text{ kg}
  2. Simplify the fraction.

    5001000=510=12\frac{500}{1000} = \frac{5}{10} = \frac{1}{2} 500 g=12 kg500 \text{ g} = \boxed{\frac{1}{2} \text{ kg}}

Part b· 2 steps

  1. Convert 250 g250 \text{ g} to kilograms by dividing by 1000.

    250 g=2501000 kg250 \text{ g} = \frac{250}{1000} \text{ kg}
  2. Simplify the fraction.

    2501000=25100=14\frac{250}{1000} = \frac{25}{100} = \frac{1}{4} 250 g=14 kg250 \text{ g} = \boxed{\frac{1}{4} \text{ kg}}

Part c· 2 steps

  1. Convert 750 g750 \text{ g} to kilograms by dividing by 1000.

    750 g=7501000 kg750 \text{ g} = \frac{750}{1000} \text{ kg}
  2. Simplify the fraction.

    7501000=75100=34\frac{750}{1000} = \frac{75}{100} = \frac{3}{4} 750 g=34 kg750 \text{ g} = \boxed{\frac{3}{4} \text{ kg}}

Part d· 2 steps

  1. Convert 125 g125 \text{ g} to kilograms by dividing by 1000.

    125 g=1251000 kg125 \text{ g} = \frac{125}{1000} \text{ kg}
  2. Simplify the fraction.

    1251000=18\frac{125}{1000} = \frac{1}{8} 125 g=18 kg125 \text{ g} = \boxed{\frac{1}{8} \text{ kg}}

Part e· 2 steps

  1. Convert 1250 g1250 \text{ g} to kilograms by dividing by 1000.

    1250 g=12501000 kg1250 \text{ g} = \frac{1250}{1000} \text{ kg}
  2. Simplify the fraction.

    12501000=125100=54\frac{1250}{1000} = \frac{125}{100} = \frac{5}{4} 1250 g=54 kg1250 \text{ g} = \boxed{\frac{5}{4} \text{ kg}}

Part f· 2 steps

  1. Convert 2750 g2750 \text{ g} to kilograms by dividing by 1000.

    2750 g=27501000 kg2750 \text{ g} = \frac{2750}{1000} \text{ kg}
  2. Simplify the fraction.

    27501000=275100=114\frac{2750}{1000} = \frac{275}{100} = \frac{11}{4} 2750 g=114 kg2750 \text{ g} = \boxed{\frac{11}{4} \text{ kg}}

Part g· 2 steps

  1. Convert 7500 g7500 \text{ g} to kilograms by dividing by 1000.

    7500 g=75001000 kg7500 \text{ g} = \frac{7500}{1000} \text{ kg}
  2. Simplify the fraction.

    75001000=7510=152\frac{7500}{1000} = \frac{75}{10} = \frac{15}{2} 7500 g=152 kg7500 \text{ g} = \boxed{\frac{15}{2} \text{ kg}}

Part h· 2 steps

  1. Convert 9125 g9125 \text{ g} to kilograms by dividing by 1000.

    9125 g=91251000 kg9125 \text{ g} = \frac{9125}{1000} \text{ kg}
  2. Simplify the fraction.

    91251000=36540=738\frac{9125}{1000} = \frac{365}{40} = \frac{73}{8} 9125 g=738 kg9125 \text{ g} = \boxed{\frac{73}{8} \text{ kg}}

Part h(i)· 4 steps

  1. Convert 2250 g2250 \text{ g} to kilograms by dividing by 1000.

    2250 g=22501000 kg2250 \text{ g} = \frac{2250}{1000} \text{ kg}
  2. Simplify the fraction.

    22501000=225100=94\frac{2250}{1000} = \frac{225}{100} = \frac{9}{4} 2250 g=94 kg2250 \text{ g} = \boxed{\frac{9}{4} \text{ kg}}

    j)

  3. Convert 3500 g3500 \text{ g} to kilograms by dividing by 1000.

    3500 g=35001000 kg3500 \text{ g} = \frac{3500}{1000} \text{ kg}
  4. Simplify the fraction.

    35001000=3510=72\frac{3500}{1000} = \frac{35}{10} = \frac{7}{2} 3500 g=72 kg3500 \text{ g} = \boxed{\frac{7}{2} \text{ kg}}

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