22 : 4 ::93 : 729 ::24 : 16 :: 34 : ?
Answers
Explanation:
Express \frac{\frac{\frac{\frac{22}{4}}{93}}{728}}{24}
24
728
93
4
22
as a single fraction.
sort(\frac{\frac{\frac{22}{4}}{93}}{728\times 24},\frac{16}{34})sort(
728×24
93
4
22
,
34
16
)
Step 2
Express \frac{\frac{22}{4}}{93}
93
4
22
as a single fraction.
sort(\frac{\frac{22}{4\times 93}}{728\times 24},\frac{16}{34})sort(
728×24
4×93
22
,
34
16
)
Step 3
Multiply 44 and 9393 to get 372372.
sort(\frac{\frac{22}{372}}{728\times 24},\frac{16}{34})sort(
728×24
372
22
,
34
16
)
Hint
Multiply two factors together.
Step 4
Reduce the fraction \frac{22}{372}
372
22
to lowest terms by extracting and canceling out 22.
sort(\frac{\frac{11}{186}}{728\times 24},\frac{16}{34})sort(
728×24
186
11
,
34
16
)
Step 5
Multiply 728728 and 2424 to get 1747217472.
sort(\frac{\frac{11}{186}}{17472},\frac{16}{34})sort(
17472
186
11
,
34
16
)
Hint
Multiply two factors together.
Step 6
Express \frac{\frac{11}{186}}{17472}
17472
186
11
as a single fraction.
sort(\frac{11}{186\times 17472},\frac{16}{34})sort(
186×17472
11
,
34
16
)
Step 7
Multiply 186186 and 1747217472 to get 32497923249792.
sort(\frac{11}{3249792},\frac{16}{34})sort(
3249792
11
,
34
16
)
Hint
Multiply two factors together.
Step 8
Reduce the fraction \frac{16}{34}
34
16
to lowest terms by extracting and canceling out 22.
sort(\frac{11}{3249792},\frac{8}{17})sort(
3249792
11
,
17
8
)
Step 9
Least common denominator of the numbers in the list \frac{11}{3249792},\frac{8}{17}
3249792
11
,
17
8
is 5524646455246464. Convert numbers in the list to fractions with denominator 5524646455246464.