What is (60-1/8)\div (30-1/16) ?

The solution to (60-1/8)\div (30-1/16) is 2

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(60-1/8)\div (30-1/16)

(60 - \frac{1}{8}) \div (30 - \frac{1}{16})

2

Solution steps

(60 - \frac{1}{8}) \div (30 - \frac{1}{16})

Follow the PEMDAS order of operations

Calculate within parentheses

(60 - \frac{1}{8}) : \frac{479}{8}

60 - \frac{1}{8}

60 - \frac{1}{8} = \frac{479}{8}

60 - \frac{1}{8}

Convert element to fraction:

60 = \frac{60 \cdot 8}{8}

= \frac{60 \cdot 8}{8} - \frac{1}{8}

Since the denominators are equal, combine the fractions:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{60 \cdot 8 - 1}{8}

60 \cdot 8 - 1 = 479

60 \cdot 8 - 1

Multiply the numbers:

60 \cdot 8 = 480

= 480 - 1

Subtract the numbers:

480 - 1 = 479

= 479

= \frac{479}{8}

= \frac{479}{8}

= \frac{479}{8} \div (30 - \frac{1}{16})

Calculate within parentheses

(30 - \frac{1}{16}) : \frac{479}{16}

30 - \frac{1}{16}

30 - \frac{1}{16} = \frac{479}{16}

30 - \frac{1}{16}

Convert element to fraction:

30 = \frac{30 \cdot 16}{16}

= \frac{30 \cdot 16}{16} - \frac{1}{16}

Since the denominators are equal, combine the fractions:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{30 \cdot 16 - 1}{16}

30 \cdot 16 - 1 = 479

30 \cdot 16 - 1

Multiply the numbers:

30 \cdot 16 = 480

= 480 - 1

Subtract the numbers:

480 - 1 = 479

= 479

= \frac{479}{16}

= \frac{479}{16}

= \frac{479}{8} \div \frac{479}{16}

Multiply and divide (left to right)

\frac{479}{8} \div \frac{479}{16} : 2

\frac{479}{8} \div \frac{479}{16}

Apply the fraction rule:

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

= \frac{479}{8} \cdot \frac{16}{479}

Multiply fractions:

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

= \frac{479 \cdot 16}{8 \cdot 479}

Cancel the common factor:

479

= \frac{16}{8}

Divide the numbers:

\frac{16}{8} = 2

= 2

= 2

- 5 + 4 - 2 + 8

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

- 2^{3} + 1

3^{2} + 4

6 \div 9 + 5 \times 6