Question

If \(\frac{ 1 }{ 2 }\) is \(\frac{ 3 }{ 4}\) of \(\frac{ 4 }{ 5 }\) of a certain number, what is that number?

Answer 1

@TheSmartOne

Answer 2

\[\frac{ 1 }{ 2 } = \frac{ 3 }{ 4 }\times \frac{ 4 }{ 5 } \times x\]

Let x equal that certain number

Answer 3

@dmndlife24 has it correct :)

Answer 4

Just something that you should remember, the word 'of' in math means multiplication. 'is' means equal to.

Answer 5

Simplify...

\[\frac{ 1 }{ 2 } = \frac{ 3 }{ 5 }x\]

Answer 6

and your certain number, you can make that any variable and solve for it :)

Answer 7

@TheRaggedyDoctor Tell me what you get when you solve for "x" :)

Answer 8

I'm not sure..

Answer 9

Hint: Multiply both sides by the reciprocal of \(\sf\Large\frac{3}{5}\)

The reciprocal of \(\sf\Large\frac{a}{b}\) is \(\sf\Large\frac{b}{a}\)

Answer 10

\(\frac{ 6 }{ 5 }\)

Answer 11

\[\frac{ 1 }{ 2 } \times \frac{ 5 }{ 3 } = x\]

Answer 12

\(\frac{5}{6}\)

Answer 13

Yup

Answer 14

Oh okay. Thank you. c:

Answer 15

Sure thing :)