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First, multiply by the reciprocal of the fraction. What is the reciprocal?

[tex]\[ 2 \div \frac{3}{9} \rightarrow 2 \times \frac{9}{3} \][/tex]

Sagot :

GinnyAnswer
To find the reciprocal of a fraction, you swap the numerator and the denominator.

The given fraction is [tex]\(\frac{3}{9}\)[/tex].

Step-by-step, first identify the numerator and the denominator:

1. The numerator of the given fraction [tex]\( \frac{3}{9} \)[/tex] is [tex]\(3\)[/tex].
2. The denominator of the given fraction [tex]\( \frac{3}{9} \)[/tex] is [tex]\(9\)[/tex].

To find the reciprocal, we swap the numerator and the denominator:

- The new numerator (originally the denominator) is [tex]\(9\)[/tex].
- The new denominator (originally the numerator) is [tex]\(3\)[/tex].

Therefore, the reciprocal of [tex]\( \frac{3}{9} \)[/tex] is [tex]\( \frac{9}{3} \)[/tex].

So, the expression [tex]\( 2 \div \frac{3}{9} \)[/tex] becomes:

[tex]\[ 2 \times \frac{9}{3} \][/tex]

The reciprocal of [tex]\( \frac{3}{9} \)[/tex] is [tex]\( \frac{9}{3} \)[/tex].
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