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Ainat [17]
3 years ago
9

Three and two thirds times a number equals two ninths

Mathematics
2 answers:
worty [1.4K]3 years ago
8 0
3 2/3 x # = 2/9
# = 2/9 \ 3 2/3
# = 2/33 or 0.067
zlopas [31]3 years ago
8 0

Answer:

The number is \displaystyle\frac{2}{33}.

Step-by-step explanation:

Let x be the number.

We are given that:

Three and two thirds times a number

3\displaystyle\frac{2}{3}\times x

This is equal to two-ninths

Thus,

3\displaystyle\frac{2}{3}\times x = \displaystyle\frac{2}{9}\\\\\displaystyle\frac{11}{3}\times x = \displaystyle\frac{2}{9}\\\\x = \displaystyle\frac{2\times 3}{9\times 11}\\\\x = \displaystyle\frac{2}{33}

Hence, the number is \displaystyle\frac{2}{33}.

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