Use the properties of operations and rules for multiplying and dividing to solve:
(−3/5)×(5/16)×(7/12)÷(−3/16)×(−5/7)
First, let's simplify the expression using the properties of operations and rules for multiplying and dividing:
(-3/5) × (5/16) × (7/12) ÷ (-3/16) × (-5/7)
We can simplify the expression by canceling out the common factors in the numerators and denominators. Here are the steps:
(-3/5) × (5/16) × (7/12) ÷ (-3/16) × (-5/7)
= (-3 × 5 × 7 × -5) / (5 × 16 × 12 × -3 × -7 × 16)
= (-3 × 5 × 7 × -5) / (5 × 3 × -7)
= (-3 × 7 × -5) / (3 × -7)
= (3 × 7 × 5) / (3 × 7)
= (7 × 5)
= 35
Hence, the simplified value of the expression is 35.
Wrong
Apologies for the mistake. Let's correctly simplify the expression:
(-3/5) × (5/16) × (7/12) ÷ (-3/16) × (-5/7)
To simplify, we can multiply all the numerators together and all the denominators together:
Numerator: -3 × 5 × 7 × -5 = 525
Denominator: 5 × 16 × 12 × -3 × -7 × 16 = 80640
Therefore, the expression simplifies to:
(−3/5)×(5/16)×(7/12)÷(−3/16)×(−5/7) = 525/80640
How many ounces are in 12 of 15 of a 10-ounce block of cheese?(1 point)
To find out how many ounces are in 12 of 15 of a 10-ounce block of cheese, we can use the rule for multiplying fractions:
12/15 × 10 ounces
To simplify the fraction, we can cancel out the common factor of 5:
(12/15) × (10/1) = (4/5) × 10
Now, we can simply multiply the numerator and denominator:
(4/5) × 10 = 40/5 = 8
Therefore, there are 8 ounces in 12 of 15 of a 10-ounce block of cheese.
Let's break down the given expression step-by-step:
Step 1: Multiply the numerators together.
(-3/5) × (5/16) × (7/12) ÷ (-3/16) × (-5/7)
= (-3 × 5 × 7) / (5 × 16 × 12) ÷ (-3 × -5 × 16)
Step 2: Multiply the denominators together.
= (-3 × 5 × 7) / (5 × 16 × 12) ÷ (-3 × -5 × 16)
= (-3 × 5 × 7) / (5 × 16 × 12) ÷ (3 × 5 × 16)
Step 3: Simplify the expression by canceling common factors.
= (-1 × 1 × 7) / (1 × 2 × 12) ÷ (1 × 1 × 2)
= -7 / (2 × 12) ÷ 2
Step 4: Perform division from left to right.
= -7 / (2 × 12) ÷ 2
= -7 / 24 ÷ 2
Step 5: Divide -7 by 24.
= -7 / 24 ÷ 2
= -7 / (24 × 2)
= -7 / 48
Therefore, the simplified expression is -7/48.
To solve the given expression:
Step 1: Start with the numerator of the expression: (-3/5) × (5/16) × (7/12)
- Multiply the numerators: -3 × 5 × 7 = -105
- Multiply the denominators: 5 × 16 × 12 = 960
So, the numerator simplifies to -105.
Step 2: Consider the denominator of the expression: (-3/16) × (-5/7)
- Multiply the numerators: -3 × -5 = 15
- Multiply the denominators: 16 × 7 = 112
So, the denominator simplifies to 15/112.
Step 3: Divide the numerator by the denominator: -105 ÷ (15/112).
To divide fractions, you can multiply the first fraction by the reciprocal of the second fraction.
Step 4: Convert the division to multiplication: -105 × (112/15).
- Multiply the numerators: -105 × 112 = -11760
- Multiply the denominators: 15
So, the expression simplifies to -11760/15.
To further simplify the expression, you can find the greatest common divisor (GCD) of the numerator and denominator.
Step 5: Find the GCD of -11760 and 15, which is 15.
Step 6: Divide both the numerator and denominator by 15:
-11760 ÷ 15 = -784
15 ÷ 15 = 1
So, the final simplified answer is -784/1, which is simply -784.