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


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

Sagot :

jeffannoymous2293

Answer: 1 1/4

Step-by-step explanation:

View image jeffannoymous2293
View image jeffannoymous2293

Answer:

[tex]\boxed{\boxed{\sf \frac{5}{4} \:\: or\:\: 1.25}}[/tex]

Step-by-step explanation:

[tex]\sf \cfrac{10}{14}\div \cfrac{4}{7}[/tex]

Apply fraction rule:

[tex]\boxed{\sf \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}}[/tex]

[tex]\longmapsto\sf \cfrac{10}{14}\times \cfrac{7}{4}[/tex]

[tex]\longmapsto\sf \cfrac{10}{14}[/tex]

Factor numbers:

[tex]\longmapsto\sf \cfrac{2\cdot \:5}{2\cdot \:7}[/tex]

Cancel comment factor: 2

[tex]\longmapsto\sf \cfrac{5}{4}[/tex]

____________

[tex]\longmapsto\sf \cfrac{5}{7}\times \cfrac{7}{4}[/tex]

Cross:

Cancel 7:

[tex]\longmapsto\sf \cfrac{5}{4}[/tex]

or

[tex]\longmapsto\sf 1.25[/tex]

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