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23 July, 06:55

Ruth needs 5 1/4 quarts of oil to change the oil in her car. She has 2 1/2 quarts in one bottle and 1 1/4 in another. How many more quarts of oil does Ruth need to change the oil in her car

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  1. 23 July, 07:13
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    The answer to your question is Ruth needs 3/2 or 1 1/2 more quarts.

    Step-by-step explanation:

    Data

    Oil needed = 5 1/4

    Oil in bottle 1 = 2 1/2

    Oil in bottle 2 = 1 1/4

    Process

    1. - Subtract the oil in bottle 1 and bottle 2 to the amount of oil needed.

    5 1/4 - 2 1/2 - 1 1/4

    -Convert the mixed fractions to improper fractions

    5 1/4 = (20 + 1) / 4 = 21/4

    2 1/2 = (4 + 1) / 2 = 5/2

    1 1/4 = (4 + 1) / 4 = 5/4

    -Substitute

    21/4 - 5/2 - 5/4

    -Look for the Greatest common factor

    4 2 4 2

    2 1 2 2

    1 1

    GCF = 2 x 2 = 4

    21/4 - 5/2 - 5/4 = (21 - 10 - 5) / 4

    = (21 - 15) / 4

    = 6/4

    = 3/2 or 1 1/2

    -Conclusion

    Ruth needs 3/2 or 1 1/2 more quarts.
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