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Subtract six and one-half minus four and seven-tenths. Justify your steps

  • MATH -

    6 1/2 - 4 7/10

    You'll need to change the first fraction so that it has the same denominator. You'll also need to regroup.

    6 1/2 = 5 15/10

    5 15/10 - 4 7/10 = ?

  • MATH -

    6 1/2 - 4 7/10
    first, we convert this to improper fraction (numerator is greater than denominator). We do this be multiplying the whole number to the denominator then add to the numerator:
    (6*2 + 1)/2 - (4*10 + 7)/10
    (12 + 1)/2 - (40 + 7)/10
    13/2 - 47/10
    Then, we find the least common denominator (LCD) of the fractions. Their LCD is 10 (it is the smallest number where we can divide 2 and 10 without remainder). We have no problem for the second fraction (since its denominator is already 10). For the first fraction, we do this by dividing the LCD by 2 (10/2 = 5) then multiply this to numerator. Thus,
    13*5 / 10 - 47/10
    65/10 - 47/10
    (65-47)/10
    18/10 or 9/5 or 1 4/5

    hope this helps~ :)

  • MATH -

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  • MATH -

    How do you write the decimal as a fraction or a mixed number. 0.4986 in simplest form

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