Use the properties of operations and rules for multiplying and dividing to solve:
(8/9)×(−3/4)÷(1/9)×(−4/5)÷(3/5)
(1 point)
Use the properties of operations and rules for multiplying and dividing to solve:
(−3/5)×(5/16)×(7/12)÷(−3/16)×(−5/7)
To solve this expression, we can use the properties of operations and rules for multiplying and dividing.
(−3/5) × (5/16) × (7/12) ÷ (−3/16) × (−5/7)
First, let's simplify the expression by multiplying and dividing the fractions from left to right:
= (-3/5) × (5/16) × (7/12) ÷ (−3/16) × (−5/7)
= (-3/5) × (5/16) × (7/12) ÷ (-3/16) × (-5/7)
= (-3/1) × (5/1) × (7/1) ÷ (-3/1) × (-5/1)
= -3 × 5 × 7 ÷ -3 × -5
= -105 ÷ 15
= -7
Therefore, the value of the expression is -7.
Use the properties of operations and rules for multiplying and dividing to solve:
(−35)×(516)×(712)÷(−316)×(−57)
(1 point)
How many ounces are in 1/2 of 1/5 of a 10-ounce block of cheese? (1 point) of
To solve this expression, follow the order of operations (PEMDAS/BODMAS).
Step 1: Multiply the fractions from left to right
(8/9) × (-3/4) ÷ (1/9) × (-4/5) ÷ (3/5)
= -24/36 ÷ 1/9 × -4/5 ÷ 3/5
Step 2: Divide the fractions
= (-24/36) ÷ (1/9) × (-4/5) ÷ (3/5)
To divide fractions, multiply the first fraction by the reciprocal of the second fraction:
= (-24/36) × (9/1) × (-4/5) ÷ (3/5)
Step 3: Simplify and multiply the fractions
= (-24/36) × (9/1) × (-4/5) × (5/3)
= -24 × 9 × -4 × 1 / 36 × 5 × 3 × 5
= -864 / 2700
Step 4: Simplify the fraction
To simplify the fraction, find the greatest common divisor (GCD) of the numerator and denominator and divide both by it:
Dividing both the numerator and denominator by 36:
= -24 / 75
So, the simplified result of the expression is -24/75.
To solve the expression (8/9)×(−3/4)÷(1/9)×(−4/5)÷(3/5), we need to follow the order of operations, which is generally represented by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).
In this case, we only have multiplication and division operations, so we start by performing these operations from left to right.
Step 1: Multiply the fractions (8/9) and (−3/4) together:
To multiply fractions, we multiply the numerators and multiply the denominators.
(8/9) × (−3/4) = (8 × −3) / (9 × 4) = -24/36
Step 2: Divide the result from Step 1 by the fraction (1/9):
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
(-24/36) ÷ (1/9) = (-24/36) × (9/1) = -24 × 9 / 36 × 1 = -216 / 36
Step 3: Multiply the result from Step 2 by the fraction (−4/5):
(-216/36) × (−4/5) = (-216 × -4) / (36 × 5) = 864 / 180
Step 4: Divide the result from Step 3 by the fraction (3/5):
(864/180) ÷ (3/5) = (864/180) × (5/3) = 864 × 5 / 180 × 3 = 4320 / 540
Finally, we simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 60 in this case:
4320/540 = (4320 ÷ 60) / (540 ÷ 60) = 72/9 = 8.
Therefore, the simplified value of the expression (8/9)×(−3/4)÷(1/9)×(−4/5)÷(3/5) is 8.
To solve this expression, we can use the properties of operations and rules for multiplying and dividing.
First, let's simplify the expression by multiplying and dividing the fractions from left to right:
(8/9) × (-3/4) ÷ (1/9) × (-4/5) ÷ (3/5)
= (-24/36) ÷ (1/9) × (-4/5) ÷ (3/5)
= (-24/36) ÷ (1/9) × (-4/5) × (5/3)
= (-24/36) ÷ (1/9) × (-4/3)
= -2/3 × (-4/3)
= 8/9
Therefore, the value of the expression is 8/9.