divide the sum of 3 by 8 and minus 5 by 12 by the reciprocal to get minus 5 by 12
Answers
Step-by-step explanation:
The first step is to find the sum of 3/8 and -5/12.
3/8 + (-5/12) Find the Least Common Denominator (LCD) of the two fractions.
= 9/24 + (-10/24) The LCD is 24. Divide the LCD by the denominator of the original fraction and multiply the quotient by the numerator of the original fraction to form equivalent fractions of the same denominator.
= -1/24
The second step is to find the product of -25/8 and 16/27.
-25/8 * 16/27 We can apply shortcut by using cancellation method because 8 and 16 is both divisible by 8 so we have to divide it by 8 first.
= -25/1 * 2/27 Multiply numerator by numerator and denominator by denominator.
=-50/27
The third step is to get the reciprocal of -50/27 and that is -27/50.
The last step is to divide -1/24 by -27/50.
(-1/24) ÷ (-27/50) In dividing fractions, change the division sign into multiplication sign and use the reciprocal of the dividend.
=(-1/24) * (-50/27) We can apply shortcut by using cancellation method because 24 and 50 is both divisible by 2 so we have to divide it by 2 first.
= (-1/12) * (-25/27) Multiply numerator by numerator and denominator by denominator. Negative times negative equals positive.
= 25/324
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