What is (2 1/2)(3 1/3)(4 1/6) ?

The solution to (2 1/2)(3 1/3)(4 1/6) is 34 13/18

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simplify (2 1/2)(3 1/3)(4 1/6)

simplify

(2 \frac{1}{2}) (3 \frac{1}{3}) (4 \frac{1}{6})

34 \frac{13}{18}

Decimal Notation

34.72222 \dots

Solution steps

(2 \frac{1}{2}) (3 \frac{1}{3}) (4 \frac{1}{6})

Convert mixed numbers to improper fractions:

2 \frac{1}{2} = \frac{5}{2}

= (\frac{5}{2}) (3 \frac{1}{3}) (4 \frac{1}{6})

Convert mixed numbers to improper fractions:

3 \frac{1}{3} = \frac{10}{3}

= (\frac{5}{2}) (\frac{10}{3}) (4 \frac{1}{6})

Convert mixed numbers to improper fractions:

4 \frac{1}{6} = \frac{25}{6}

= (\frac{5}{2}) (\frac{10}{3}) (\frac{25}{6})

Remove parentheses:

(a) = a

= \frac{5}{2} \cdot \frac{10}{3} \cdot \frac{25}{6}

Multiply fractions:

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

= \frac{5 \cdot 10 \cdot 25}{2 \cdot 3 \cdot 6}

Multiply the numbers:

5 \cdot 10 \cdot 25 = 1250

= \frac{1250}{2 \cdot 3 \cdot 6}

Multiply the numbers:

2 \cdot 3 \cdot 6 = 36

= \frac{1250}{36}

Cancel the common factor:

2

= \frac{625}{18}

Convert improper fractions to mixed numbers:

\frac{625}{18} = 34 \frac{13}{18}

= 34 \frac{13}{18}

\frac{\frac{1}{z}}{\frac{z - 3}{3 z}}

x^{2} + 15 x + 14

sin (θ) (csc (θ) - sin (θ))

(1 - sin^{2} (x))^{2}

\frac{\frac{x - 5}{6}}{\frac{2 x - 10}{12}}

What is (2 1/2)(3 1/3)(4 1/6) ?
The solution to (2 1/2)(3 1/3)(4 1/6) is 34 13/18