Question

10/14 divided by 4/7 is what number?

Answers should be written in simplest form.!!!!

Answer 1

`\boxed{\boxed{\sf (5)/(4) \:\: or\:\: 1.25}}`

Explanation:

`\sf \cfrac{10}{14}/ \cfrac{4}{7}`

Apply fraction rule:

`\boxed{\sf (a)/(b)/ (c)/(d)=(a)/(b)* (d)/(c)}`

`\longmapsto\sf \cfrac{10}{14}* \cfrac{7}{4}`

`\longmapsto\sf \cfrac{10}{14}`

Factor numbers:

`\longmapsto\sf \cfrac{2\cdot \:5}{2\cdot \:7}`

Cancel comment factor: 2

`\longmapsto\sf \cfrac{5}{4}`

____________

`\longmapsto\sf \cfrac{5}{7}* \cfrac{7}{4}`

Cross:

Cancel 7:

`\longmapsto\sf \cfrac{5}{4}`

or

`\longmapsto\sf 1.25`

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