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frosja888 [35]
2 years ago
12

When a fraction of 12 is taken away from 17, what remain exceed one-third of seventeen by six.

Mathematics
1 answer:
vova2212 [387]2 years ago
5 0
X - the fraction

17- 12x=\frac{1}{3} \times 17+6 \\
17-12x=\frac{17}{3}+6 \\
-12x=\frac{17}{3}+6-17 \\
-12x=\frac{17}{3}-11 \\
-12x=\frac{17}{3}-\frac{33}{3} \\
-12x=-\frac{16}{3} \\
x=-\frac{16}{3} \times (-\frac{1}{12}) \\
x=\frac{16}{36} \\
x=\frac{4}{9}

The fraction is 4/9.
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