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OpenStudy (flvs.net):
If 2 over 7 of a ton of concrete covers 7 over 8 of a wall, how many tons of concrete are required to cover the entire wall?
A. 1/4 ton
B. 16/49 ton
C. 5/7 ton
D. 65/56 tons
10 years ago
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OpenStudy (flvs.net):
@jcoury
10 years ago
OpenStudy (danjs):
\[\frac{ 1~wall }{ 1 }*\frac{ 2/7 ~ ton }{ 7/8~wall } = ~~~ton\]
10 years ago
OpenStudy (anonymous):
cross multiply
10 years ago
OpenStudy (danjs):
no, just calculate
10 years ago
OpenStudy (flvs.net):
How?
10 years ago
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OpenStudy (danjs):
oh,
to divide a fraction by a fraction, flip the bottom one over and multiply them
10 years ago
OpenStudy (danjs):
\[\frac{ 2/7 }{ 7/8 } = \frac{ 2 }{ 7 }*\frac{ 8 }{ 7 }\]
10 years ago
OpenStudy (flvs.net):
So what do I do?
10 years ago
OpenStudy (danjs):
multiply
\[\frac{ 2/7 }{ 7/8 } = \frac{ 2 }{ 7 }*\frac{ 8 }{ 7 }=\frac{ 8*2 }{ 7*7 } = \]
10 years ago
OpenStudy (flvs.net):
Huh?
10 years ago
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OpenStudy (danjs):
Dividing Fractions -
\[\frac{ \frac{ a }{ b } }{ \frac{ c }{ d } } = \frac{ a }{ b }*\frac{ d }{ c }\]
10 years ago
OpenStudy (danjs):
multiplying fractions -
\[\frac{ a }{ b }*\frac{ c }{ d } = \frac{ a*c }{ b*d }\]
10 years ago
OpenStudy (danjs):
so your final answer is (8*2) / (7*7) tons
10 years ago
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