Use the properties of operations and rules for multiplying and dividing to solve:
(89)×(−34)÷(19)×(−45)÷(35)
To solve the expression (89)×(−34)÷(19)×(−45)÷(35), we can follow the order of operations and the rules for multiplying and dividing.
First, let's multiply the two numbers 89 and -34:
(89)×(−34) = -3,026
Next, let's divide -3,026 by 19:
-3,026 ÷ 19 = -159.263
Now, let's multiply -159.263 by -45:
-159.263 × -45 = 7,163.835
Lastly, let's divide 7,163.835 by 35:
7,163.835 ÷ 35 ≈ 204.968
Therefore, (89)×(−34)÷(19)×(−45)÷(35) ≈ 204.968
bot it has to be a fraction.
Apologies for the oversight. Let's solve the expression as a fraction.
(89)×(−34)÷(19)×(−45)÷(35)
First, let's multiply the numerators:
89 × -34 = -3,026
Next, let's multiply the denominators:
19 × 35 = 665
Now, we have -3,026/665
Since dividing by a negative number is equivalent to multiplying by its reciprocal, we can rewrite -3,026 as -3,026/1.
(-3,026/1) / 665
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
-3,026/1 * 1/665 = -3,026/665
Therefore, (89)×(−34)÷(19)×(−45)÷(35) = -3,026/665
wrong
Apologies for the mistake. Let me correct it.
To solve the expression (89)×(−34)÷(19)×(−45)÷(35) as a fraction:
First, let's multiply the numerators of the first two fractions and the numerators of the last two fractions:
89 × -34 = -3,026
-45 × -3,026 = 136,170
Next, let's multiply the denominators of the first two fractions and the denominators of the last two fractions:
19 × 35 = 665
Now, we have (-3,026)/(19) and (136,170)/(665).
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
((-3,026)/(19)) * ((665)/(136,170))
Simplifying the expression:
-3,026/19 * 665/136,170 = (-3,026 * 665)/(19 * 136,170) = -2,009,390/2,5845,930
Therefore, (89)×(−34)÷(19)×(−45)÷(35) is equal to -2,009,390/2,5845,930 as a fraction.
(8/9*(-3/4)/(1/9)*(-4/5)/(3/5)
To solve the expression (8/9*(-3/4)/(1/9)*(-4/5)/(3/5), we can simplify step by step:
First, let's multiply the numerators and denominators of each pair of fractions:
(8/9 * -3/4) / (1/9 * -4/5) / (3/5)
Multiplying the numerators:
(8 * -3) / (1 * -4) / 3
Simplifying the numerator and denominator:
(-24) / (-4) / 3
Next, let's divide the fraction:
(-24) / (-4) / 3 = (-24 / -4) * (1 / 3)
Simplifying each division:
(6) * (1 / 3)
Multiplying these numbers:
6 / 3
Finally, let's simplify the fraction:
6 / 3 = 2
Therefore, the value of the expression (8/9*(-3/4)/(1/9)*(-4/5)/(3/5) is equal to 2.
wrong
Apologies for the mistake. Let's go through the correct steps to solve the expression (8/9*(-3/4)/(1/9)*(-4/5)/(3/5):
First, let's simplify each fraction separately:
(8/9) * (-3/4) = -24/36 = -2/3
(1/9) * (-4/5) = -4/45
Now, let's divide the two fractions:
(-2/3) / (-4/45)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(-2/3) * (45/-4)
Next, we simplify by canceling out common factors between the numerator and denominator:
-15/2
Now, let's multiply this result by (3/5):
(-15/2) * (3/5) = -45/10 = -9/2
Therefore, the value of the expression (8/9*(-3/4)/(1/9)*(-4/5)/(3/5) is -9/2.