Asked by Dud

what is 4.65 converted to fraction for answer should we given in simplest form
Answered by Dud
What is 93/20 as a mixed number
Answered by Dud
Use long division to convert 2 7/16 to a decimal
Answered by Dud
Use long division to convert 6 and 7/15 to a decimal
Answered by Dud
A fire engines water tank hold 750 gallons of water. If the pump removes 250 gallons of water in 5 minutes, what is the change in the amount of water in gallons in 1 minute?
Answered by Dud
Use the properties of operations in rules for multiplying and dividing find numbers to solve: (-4)×(7/5)×(-3/4)÷(7/15)
Answered by GPT 3.5
To convert 4.65 to a fraction, we can determine that the number after the decimal point is two digits (65).

Step 1: Write down the decimal as a fraction, where the denominator is 1 followed by the number of digits after the decimal point (in this case, two digits).
4.65 = 4.65/1

Step 2: Multiply both the numerator and the denominator by 100 to eliminate the decimal point.
4.65/1 * 100/100 = 465/100

Step 3: Simplify the fraction by finding the greatest common factor (GCF) between the numerator and denominator, and divide both by the GCF.
The GCF of 465 and 100 is 5.
(465 ÷ 5) / (100 ÷ 5) = 93/20

Therefore, 4.65 can be written as the fraction 93/20 in simplest form.
Answered by GPT 3.5
To convert the fraction 93/20 into a mixed number, we divide the numerator (93) by the denominator (20):

93 ÷ 20 = 4 remainder 13

The quotient (4) becomes the whole number part, and the remainder (13) becomes the numerator of the fraction. The denominator remains the same.

Therefore, 93/20 as a mixed number is 4 and 13/20.
Answered by GPT 3.5
To convert the mixed number 2 7/16 to a decimal using long division, we proceed as follows:

1. Write the mixed number as a fraction. In this case, 2 7/16 can be written as:

2 + 7/16 = (2 * 16 + 7) / 16 = 39/16

2. Perform long division, dividing the numerator (39) by the denominator (16):

2.4375
_________________
16 | 39
-32
_______
70
-64
_______
60
-48
_______
12

3. Once we reach a remainder of 12, we can add a decimal point and add zeros after it to continue the division process.

2.4375
_________________
16 | 39.000
-32
_______
70
-64
_______
60
-48
_______
12.000
- 0
_______
12

4. The division process continues until there are no more remainder. The final result, without the need for additional decimal places, is 2.4375.

Therefore, 2 7/16 as a decimal is 2.4375.
Answered by GPT 3.5
To convert the mixed number 6 and 7/15 to a decimal using long division, we follow these steps:

1. Write the mixed number as a fraction. In this case, 6 and 7/15 can be written as:

6 + 7/15 = (6 * 15 + 7) / 15 = 97/15

2. Perform long division, dividing the numerator (97) by the denominator (15):

6.466666667
_________________
15 | 97
-90
_______
70
- 60
_______
100
- 90
_______
10


3. Once we reach a remainder of 10, we could add a decimal point and add zeros after it to continue the division process. However, we can see that the division is repeating, and the division of 97 by 15 in long division goes on forever.

4. To represent the repeating portion, we can use a bar over the repeating decimal digits. In this case, the decimal representation of 6 and 7/15 is approximately 6.466666667, and the repeating portion is 6.46̅.

Therefore, 6 and 7/15 as a decimal is approximately 6.46̅.
Answered by GPT 3.5
To find the change in the amount of water in gallons per minute, we divide the total change (250 gallons) by the time taken (5 minutes):

Change in water per minute = Total change in water / Time taken

Change in water per minute = 250 gallons / 5 minutes

Change in water per minute = 50 gallons

Therefore, the change in the amount of water in gallons per minute is 50 gallons.
Answered by GPT 3.5
To solve the expression (-4) × (7/5) × (-3/4) ÷ (7/15), we can follow the rules for multiplying and dividing fractions.

Step 1: Simplify any multiplication or division of numbers within a set of parentheses.
(-4) × (7/5) × (-3/4) ÷ (7/15) becomes:
(-4) × (7/5) × (-3/4) ÷ (7/15)

Step 2: Simplify multiplication and division from left to right.
(-4) × (7/5) × (-3/4) ÷ (7/15) becomes:
(-28/5) × (-3/4) ÷ (7/15)

Step 3: Multiply the numerators and the denominators across.
(-28/5) × (-3/4) ÷ (7/15) becomes:
(-28 × -3)/(5 × 4) ÷ (7/15)
(84/20) ÷ (7/15)

Step 4: Divide by multiplying by the reciprocal of the divisor.
(84/20) ÷ (7/15) becomes:
(84/20) × (15/7)

Step 5: Multiply the numerators and the denominators across.
(84/20) × (15/7) = ((84 × 15)/(20 × 7))

Step 6: Simplify the resulting fractions if possible.
(84 × 15) = 1260
(20 × 7) = 140
The simplified fraction is 1260/140.

Step 7: Reduce the fraction to its simplest form.
1260/140 can be reduced by dividing both the numerator and denominator by their greatest common factor, which is 20.
(1260 ÷ 20) / (140 ÷ 20) = 63/7

Step 8: Simplify the fraction further if possible.
63/7 can be simplified by dividing both the numerator and denominator by 7.
(63 ÷ 7) / (7 ÷ 7) = 9/1

Therefore, the expression (-4) × (7/5) × (-3/4) ÷ (7/15) simplifies to 9.