To find the best estimate of Negative 14 and StartFraction 1 over 9 EndFraction (Negative 2 and StartFraction 9 over 10 EndFraction), we need to multiply the whole numbers by the fractions and then subtract them.
Negative 14 and StartFraction 1 over 9 EndFraction = -14 + (1/9) = -14 + (1/9) = -14 + 1/9
Negative 2 and StartFraction 9 over 10 EndFraction = -2 + (9/10) = -2 + (9/10) = -2 + 9/10
Now, let's subtract them:
(-14 + 1/9) - (-2 + 9/10) = -14 + 1/9 + 2 - 9/10
= -14 + 2 + 1/9 - 9/10
To find a common denominator between 9 and 10, we need to multiply 9 by 10 and 10 by 9.
= (-14 + 2 + 1/9 * 10/10 - 9/10 * 9/9)
= (-14 + 2 + 10/90 - 81/90)
= (-14 + 2 - 71/90)
= (-14 - 71/90)
= (-1400/90 - 71/90)
= (-1471/90)
Therefore, the best estimate of Negative 14 and StartFraction 1 over 9 EndFraction (Negative 2 and StartFraction 9 over 10 EndFraction) is -1471/90.
None of the given options (–42, –28, 28, 42) are equal to -1471/90.
Which is the best estimate of Negative 14 and StartFraction 1 over 9 EndFraction (Negative 2 and StartFraction 9 over 10 EndFraction)?
–42
–28
28
42
1 answer