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EastWind [94]
4 years ago
15

Find the greatest rational number r such that the ratios 8/15 ÷r and 18/35 ÷r are whole numbers.

Mathematics
1 answer:
Akimi4 [234]4 years ago
5 0

Answer:

  2/105

Step-by-step explanation:

"r" is the greatest common divisor (GCD) of the two fractions. It can be found using Euclid's algorithm in the usual way.

  (8/15) - (18/35) = 56/105 - 54/105 = 2/105 . . . . . this is (8/15) mod (18/35)

We can see that the next step, division of 54/105 by 2/105, will produce a remainder of 0, so the GCD is 2/105.

The greatest rational number r is 2/105.

_____

<em>Check</em>

The ratios are (8/15)/(2/105) = 28; (18/35)/(2/105) = 27. These whole numbers are relatively prime, so there is no larger r than the one we found.

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What number should be added to 7/12 to get 4/15?​
DENIUS [597]

Answer:

Step-by-step explanation:

Let the number = x.

We are trying to find out what number (x) we would need to add to 7/12 to get 4/15

\frac{7}{12}  + x = \frac{4}{15}

Subtract 7/12 from both sides.

x = \frac{4}{15}  - \frac{7}{12}

We need to make the denominators of the fractions the same.

\frac{4}{15}  = \frac{16}{60}

\frac{7}{12}  = \frac{35}{60}

So,

x = \frac{16}{60}  - \frac{35}{60}  = -  \frac{19}{60}

6 0
3 years ago
In one day's work at the nursery, Dale and Mary together potted 74 plants. If Dale potted 48, how many did Mary pot?​
dybincka [34]
You would subtract the number of plants dale potted from the total amount. 74-48=26
6 0
3 years ago
Read 2 more answers
Use numerals instead of words. If necessary, use / for the fraction bar.
Step2247 [10]
Here, AB ║ CD ;   EF ⊥ AB

Number of 90 degree formed by the intersections of EF and two parallel lines AB and CD is 8

Hope this helps!
7 0
3 years ago
If a bill cost $125. And they leave a $21.25 for a tip what percentage did they tip
yanalaym [24]

Answer:

17%

Step-by-step explanation:

Divide $21.25 by $125

6 0
3 years ago
A candle maker adds lemon oil to wax to make the lemon-scented candle shown. How many ounces of oil will he need for the candle
liraira [26]

Answer:

The ounces of oil needed is 5 ounces of oil

Step-by-step explanation:

The first thing to do here is to calculate the volume of the lemon-scented candle given.

Looking at shape the volume can be calculated using the formula L * B * H

where L(length) = 10cm , B(breadth) = 8cm and Height(h) = 25cm

The volume V is thus = 10 * 8 * 25 = 2,000 cm^3

The ounces of oil needed for the candle to have 0.0025 ounces of oil per cm^3 of wax will be = The volume of the lemon-scented candle * 0.0025 ounces of oil per cm^3 of wax

That will be = 0.0025 * 2,000 = 5 ounces

3 0
3 years ago
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