(−3/5)×(5/16)×(7/12)÷(−3/16)×(−5/7)
To simplify this expression, we can cancel out common factors in the numerator and denominator.
(-3/5) × (5/16) × (7/12) ÷ (-3/16) × (-5/7)
First, we can cancel out the common factor of 5 in the numerator and denominator:
(-3/1) × (1/16) × (7/12) ÷ (-3/16) × (-1/7)
Next, let's cancel out the common factor of 3 in both the numerator and denominator:
(-1/1) × (1/16) × (7/4) ÷ (-1/16) × (-1/7)
Now, let's cancel out the common factor of 16 in both the numerator and denominator:
(-1/1) × (1/1) × (7/4) ÷ (-1/1) × (-1/7)
Finally, we can multiply the fractions together:
-1 × 1 × 7 / 1 × 1 × 4 × -1 × -1 × 7
Which simplifies to:
-7 / 1 × 1 / 4 × -1 / -1 × 7
Now we can cancel out the 1's:
-7 × 1 / 4 × -1 × 7
And multiply the remaining numbers:
-49 / 4
So the simplified expression is -49/4.
incorrect
Apologies for the mistake. Let's try again:
To simplify this expression:
(-3/5) × (5/16) × (7/12) ÷ (-3/16) × (-5/7)
We can simplify it step by step using the multiplication and division rules of fractions.
First, let's multiply the numerators together and the denominators together:
(-3 × 5 × 7) / (5 × 16 × 12) ÷ (-3 × 16 × -5 × 7)
Now, let's simplify each part of the expression:
(-105) / (960) ÷ (240)
To divide by a fraction, we can multiply by its reciprocal:
(-105) / (960) × (1 / 240)
Now let's simplify the numerator and denominator separately:
Numerator: -105
Denominator: 960 × 240
Now, let's calculate the numerator and denominator:
Numerator: -105
Denominator: 230400
Putting the fraction back together, we have:
-105 / 230400
This is the simplified expression.
(−3/5)×(5/16)×(7/12)÷(−3/16)×(−5/7)
To simplify this expression:
(−3/5) × (5/16) × (7/12) ÷ (−3/16) × (−5/7)
We can cancel out some factors and simplify the expression further.
(-3/5) and (5/16) have a common factor of 5, and (-3/16) and (-5/7) have a common factor of -1.
So, let's cancel out the common factors:
(-3/1) × (1/16) × (7/12) ÷ (1/16) × (1/1)
Now, let's simplify:
(-3) × (1/16) × (7/12) ÷ (1/16)
Multiplying the numerators and denominators:
(-3 × 1 × 7) / (16 × 12) ÷ (1/16)
Simplifying the result:
(-21) / (192) ÷ (1/16)
To divide by a fraction, we can multiply by its reciprocal:
(-21) / (192) × (16/1)
Multiplying the numerators and denominators:
(-21 × 16) / (192 × 1)
Simplifying the result:
(-336) / 192
We can simplify the fraction further by factoring out a common factor of 48:
(-336 ÷ 48) / (192 ÷ 48)
Simplifying the division:
(-7/4) / (4/1)
To divide by a fraction, we can multiply by its reciprocal:
(-7/4) × (1/4)
Multiplying the numerators and denominators:
(-7 × 1) / (4 × 4)
Simplifying the result:
-7 / 16
So, the simplified expression is -7/16.
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 need to calculate the fraction of the block and then multiply it by the total weight.
First, let's find the fraction:
12 of 15 can be written as a fraction as 12/15.
Next, let's calculate the fraction of the block:
Fraction of the block = 12/15 × 10 ounces
We can cancel out common factors:
= (4/5) × 10 ounces
Now, let's multiply the numerator and denominator:
= 4/5 × 10 ounces
We can simplify further:
= 40/5 ounces
And simplify the fraction:
= 8 ounces
Therefore, there are 8 ounces in 12 of 15 of a 10-ounce block of cheese.