All categories

3 years ago

write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator. 40 to 56

Mathematics

2 answers:

masha68 [24]3 years ago

3 0

Answer:

5/7

Step-by-step explanation:

A common factor of 8 can be canceled from numerator and denominator.

40/56 = (5·8)/(7·8) = (5/7)·(8/8) = (5/7)·1 = 5/7

_____

Since you know your multiplication tables, you know that 40 and 56 are both multiples of 8.

If you don't know your multiplication tables, you can find the greatest common divisor (GCD) of the two numbers and divide each by that. The GCD can be found using Euclid's algorithm. For that, you divide the larger by the smaller and use the remainder as the new smaller number. The original smaller number is now the larger number. For these numbers, that looks like ...

56 ÷ 40 = 1 r 16

40 ÷ 16 = 2 r 8

16 ÷ 8 = 2 r 0 . . . . . the zero remainder signals that the divisor (8) is the GCD

Now, your fraction is ...

(40/8) / (56/8) = 5/7

Maurinko [17]3 years ago

3 0

Answer:

5/7

Step-by-step explanation:

40/56 both divided by 8 and that is how to get your answer because you can not simplify further

You might be interested in

the selling price of a television set is $125 more than twice the cost. find the cost if the selling price is $325.

OverLord2011 [107]

The cost is $100. Take $325, and subtract $125. It gives you $200. And you have to divide that in half cuz the price is twice the cost. So the cost is $100

(* I love getting brainliest! ;) *)

6 0

3 years ago

Read 2 more answers

A frog is sitting on the ground when he is scared by a big dog. His movement is

horsena [70]

1 second is the answer

7 0

2 years ago

PLEASE HELP! I ONLY HAVE 15 MINS! WILL MARK BRAINLIEST! 20 POINTS! Suppose N coins lie heads up on a table. In one turn, you can

Romashka [77]

Answer: it is only possible if N = 2.

Step-by-step explanation:

if you have N heads up coins.

turn one, you turn N -1 coins up.

Now you have N - 1 coins tails up and one coin heads up.

Second turn, you turn N - 1 coins, (if you select the same N - 1 coins as before, you will end in the initial situation, so now we will change one coin, this time we will select the coin that is still heads up and we will leave one of the tails up unchanged)

Then we have N - 2 coins heads up and 2 coins tails up.

Now, we can select any N -1 coins to flip, and we will end with with N - 1 coins tail up and 1 coin heads up.

and this cycle will repeat.

Then the only situation is having N = 2.

Becuase when we have N -2 coins heads up and 2 coins tails up we will have: N - 2 = 0, so we have 0 coins heads up and 2 coins tails up.

This means that the statement is only true if N = 2.

6 0

2 years ago

Sadiq measured the dimensions of a 1 kg bag of sugar and found the length was 9.2 cm, the width was 6 cm and the height was 14.1

garik1379 [7]

Answer:

$d=1.28\times 10^{-6}\ g/cm^3$

Step-by-step explanation:

The mass of a bag of sugar, m = 1 kg = 0.001 g

Length of bag, l = 9.2 cm

Width of bag, b = 6 cm

Height of the bag, h = 14.1 cm

We need to find the density of the sugar bag.

Density = mass/volume

So,

$d=\dfrac{0.001\ g}{9.2\times 6\times 14.1\ cm^3}\\\\d=1.28\times 10^{-6}\ g/cm^3$

So, the density of the bag is $1.28\times 10^{-6}\ g/cm^3$ .

7 0

2 years ago

the figure below shows two half-circles at the ends of a rectangle with the dimensions shown. which is the closet to the area of

Pani-rosa [81]

You get 92.56 <span>You add the area of the rectangle to the area of a circle

</span>

8 0

3 years ago