How many ounces are in a 1/2 of 1/5 of a 10-ounce block of cheese
To find the answer, we need to multiply the fractions' numerators together and the denominators together.
1/2 * 1/5 = (1*1) / (2*5) = 1/10
Therefore, 1/2 of 1/5 of a 10-ounce block of cheese is equal to 1/10 * 10 ounces = 1 ounce.
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A group of 9 people won 1/5 of a 4,500 prison much money did each person in the group win
To find the amount each person won, we need to divide the total amount won by the number of people.
Total amount won = 1/5 * 4,500 = 4,500/5 = 900
Each person in the group won 900/9 = 100 dollars.
Use the properties of properties of operations and rules for multiplying and dividing to solve (-3)÷(3/4)×(2/7)×(-5/15)÷(5/7)
To solve the expression (-3) ÷ (3/4) × (2/7) × (-5/15) ÷ (5/7), we can simplify it step by step:
First, we will simplify the division in (-3) ÷ (3/4):
(-3) ÷ (3/4) = (-3) × (4/3)
= -12/3
= -4
Next, we multiply by (2/7):
-4 × (2/7) = (-4 × 2) / 7
= -8/7
Next, we multiply by (-5/15):
-8/7 × (-5/15) = (-8 × -5) / (7 × 15)
= 40/105
Lastly, we divide by (5/7):
40/105 ÷ (5/7) = (40/105) × (7/5)
= (40 × 7) / (105 × 5)
= 280/525
= 8/15
Therefore, the expression (-3) ÷ (3/4) × (2/7) × (-5/15) ÷ (5/7) simplifies to 8/15.
What is the answer not simplifies
If we do not simplify the expression (-3) ÷ (3/4) × (2/7) × (-5/15) ÷ (5/7), then the answer is:
(-3) ÷ (3/4) × (2/7) × (-5/15) ÷ (5/7)
To simplify the division, we can multiply by the reciprocal:
= (-3) × (4/3) × (2/7) × (-5/15) × (7/5)
= (-3 × 4 × 2 × -5 × 7) / (3 × 7 × 15 × 5)
Now, let's calculate the numerator and denominator separately:
Numerator: (-3 × 4 × 2 × -5 × 7) = 840
Denominator: (3 × 7 × 15 × 5) = 1575
Therefore, the expression (-3) ÷ (3/4) × (2/7) × (-5/15) ÷ (5/7) equals 840/1575.
To find out how many ounces are in 1/2 of 1/5 of a 10-ounce block of cheese, we can break it down step by step:
1. Start with a 10-ounce block of cheese.
2. Divide the block into fifths since we only need 1/5 of it. Each fifth would be 10 ounces ÷ 5 = 2 ounces.
3. Now we want to find 1/2 of 2 ounces. Since 1/2 means half, we can multiply 2 ounces by 1/2 to get the answer: 2 ounces × 1/2 = 1 ounce.
Therefore, there are 1 ounce in 1/2 of 1/5 of a 10-ounce block of cheese.