find the greatest number and the smallest number among the following 3/7,-2/3,0,-7/9,-2/5.
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let us first put the positive and negative numbers on either side of 0.
-2/3 , -2/5, -7/9, 0 , 3/7
Since only one number 3/7 is positive, and more than 0, it is the greatest number among the given numbers. So now we need to find the smallest number. It will be the most negative number.
2/3 and 2/5 have same numerator.
Since 5 > 3, So 2/5 < 2/3 , as 5 and 3 are in the denominators.
Hence, -2/5 > - 2/3 as we add - sign.
So -2/3 is smaller of the two.
-2/3 and -7/9 are to be compared.
-2/3 = -6/9 and -7/9 are to be compared.
Since 6 < 7 , - 6 > - 7 as we add the - sign.
Hence, -6/9 > - 7/9 as we divide by a positive number 9.
So -7/9 is the smallest number.
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we use the subtraction operation to decide the smallest number.
(-2/3) - (-2/5)
= - 2/3 + 2/5
= ( -2*5 + 2*3 ) /15
= -4/15 is negative. the first number is smaller.
(-2/3) - (-7/9)
= -2/3 + 7/9
= (-2*3 + 7) / 9
= 1 / 9
result is positive, so the first number is larger.
Thus the smallest number is -7/9
-2/3 , -2/5, -7/9, 0 , 3/7
Since only one number 3/7 is positive, and more than 0, it is the greatest number among the given numbers. So now we need to find the smallest number. It will be the most negative number.
2/3 and 2/5 have same numerator.
Since 5 > 3, So 2/5 < 2/3 , as 5 and 3 are in the denominators.
Hence, -2/5 > - 2/3 as we add - sign.
So -2/3 is smaller of the two.
-2/3 and -7/9 are to be compared.
-2/3 = -6/9 and -7/9 are to be compared.
Since 6 < 7 , - 6 > - 7 as we add the - sign.
Hence, -6/9 > - 7/9 as we divide by a positive number 9.
So -7/9 is the smallest number.
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we use the subtraction operation to decide the smallest number.
(-2/3) - (-2/5)
= - 2/3 + 2/5
= ( -2*5 + 2*3 ) /15
= -4/15 is negative. the first number is smaller.
(-2/3) - (-7/9)
= -2/3 + 7/9
= (-2*3 + 7) / 9
= 1 / 9
result is positive, so the first number is larger.
Thus the smallest number is -7/9
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