Mathematics, 28.07.2019 07:10 lisaaprice14

#17-1: simplify this complex fraction. 1/3 / 6/9

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Answer from: mattr4960

$\huge{\boxed{\frac{1}{2}}}$

To divide by a fraction, you multiply by its reciprocal, which you find by flipping the numerator and the denominator. $\frac{1}{3} \div \frac{6}{9} = \frac{1}{3} * \frac{9}{6}$

Multiply the numerators and the denominators separately. $\frac{1}{3} * \frac{9}{6} = \frac{1*9}{3*6} = \frac{9}{18}$

Simplify by dividing both sides of the equation by . $\frac{9 \div 9}{18 \div 9} = \boxed{\frac{1}{2}}$

Answer from: chancler

The correct answer is: " $\frac{1}{2}$ " .

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or; in decimal form: " 0.5 " .

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Step-by-step explanation:

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Given: " (1/3) / (6/9) " ;

Rewrite as: " $\frac{1}{3}$ ÷ $\frac{6}{9}$ " ;

Note that: " $\frac{6}{9}$ " ;

= (6 ÷ 3) / (9÷ 3} ;

= $\frac{2}{3}$ ;

Rewrite the original expression:

" $\frac{1}{3}$ ÷ " $\frac{2}{3}$ " ;

Now, "dividing by a fraction" results in the same value as:

"multiplying by the inverse—or reciprocal" value:

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" $\frac{1}{3}$ ÷ $\frac{2}{3}$ " ;

= " $\frac{1}{3}$ * $\frac{3}{2}$ " ;

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The " 3 's " both cancel out to "1's" ;

→ {since: " $\frac{3}{3} = 1$ " ;

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And we have:

→ " $\frac{1}{1}$ * $\frac{1}{2}$ " ;

= 1 * $\frac{1}{2}$ ;

= " $\frac{1}{2}$ " .

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The correct answer is: " $\frac{1}{2}$ " .

or; in decimal form: " 0.5 " .

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Hope this answer is helpful to you!

Best wishes to you in your academic pursuits

— and within the "" community!

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Answer from: Quest

answer: what equations are there

step-by-step explanation:

Answer from: Quest

24 units

step-by-step explanation:

The graph of rectangle abcd is shown above

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