Question

Jej pls help someone didnt get right b4 i give 50 points

Answer 1

Mixed Number: 11 1/5

Improper Fraction: 56/5

Step-by-step explanation:

Given:

It takes 3/7 tonnes of sand to make a tonne of concrete.

Mason has 4 4/5 tonnes of sand.

To Find:

How much concrete, in tonnes, can he make?

Give your answer as a fraction in its simplest form.

Solve:

By the given , takes 3/7 tonnes of sand = tonne of concrete.

Thus, we divide the total of tonnes of sand Mason have by how many it takes to make a tonne of concrete.

Hence, we have;

`4(4)/(5)/ (3)/(7)`

Convert to improper fraction;

`=(24)/(5)/ (3)/(7)`

Using the fraction rule;

`(a)/(b)/ (c)/(d)=(a)/(b)* (d)/(c)`

`=(24)/(5)* (7)/(3)`

Cross-cancel common factor - 3

`=(8)/(5)* (7)/(1)`

Multiply fraction:

`=(56)/(5)`

Convert improper to mixed number:

`=11(1)/(5)`

Hence, the answer is
`\mathrm{11(1)/(5)\;or\;(56)/(5) }`

RevyBreeze

Answer 2

`\rm Improper \ fraction : \sf \sf (56)/(5) \ of \ concrete`

`\rm Mixed \ fraction: \sf 11(1)/(5) \ of \ concrete`

Step-by-step explanation:

`\sf concrete = total \ tones \ of \ sand \ / \ unit \ rate \ of \ sands \ required \ to \ make \ concrete`

Here given:

• total tones of sand = 4 4/5

• unit rate of sand required = 3/7

Concrete:

`\sf \rightarrow 4(4)/(5) / (3)/(7)`

`\rightarrow \sf (24)/(5)/ (3)/(7)`

`\rightarrow \sf (24)/(5)* (7)/(3)`

`\rightarrow \sf (56)/(5)`

`\rightarrow \sf 11(1)/(5)`