What is 2 4/9 /(11/9) ?

The solution to 2 4/9 /(11/9) is 2

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Simplify 2 4/9÷(11/9)

2 \frac{4}{9} / (11/9)

2

Solution steps

2 \frac{4}{9} / (11/9)

Convert mixed numbers to improper fractions:

2 \frac{4}{9} = \frac{22}{9}

2 \frac{4}{9}

Convert mixed numbers to improper fraction:

a \frac{b}{c} = \frac{a \cdot c + b}{c}

2 \frac{4}{9} = \frac{2 \cdot 9 + 4}{9}

= \frac{22}{9}

= \frac{22}{9} / (11/9)

Follow the PEMDAS order of operations

Calculate within parentheses

(11/9) : \frac{11}{9}

11/9

11/9 = \frac{11}{9}

= \frac{11}{9}

= \frac{22}{9} / \frac{11}{9}

Multiply and divide (left to right)

\frac{22}{9} / \frac{11}{9} : 2

\frac{22}{9} / \frac{11}{9}

Apply the fraction rule:

\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}

= \frac{22}{9} \cdot \frac{9}{11}

Multiply fractions:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{22 \cdot 9}{9 \cdot 11}

Cancel the common factor:

9

= \frac{22}{11}

Divide the numbers:

\frac{22}{11} = 2

= 2

= 2

t o a p erce n t a g e 3.2

16.6

0.55

1.35

\frac{5}{3}