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Popular Pre Algebra >

Simplify 2 1/2÷(5/8)

Solution

2 \frac{1}{2} / (5/8)

Solution

4

Solution steps

2 \frac{1}{2} / (5/8)

Convert mixed numbers to improper fractions:

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

2 \frac{1}{2}

Convert mixed numbers to improper fraction:

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

2 \frac{1}{2} = \frac{2 \cdot 2 + 1}{2}

= \frac{5}{2}

= \frac{5}{2} / (5/8)

Follow the PEMDAS order of operations

Calculate within parentheses

(5/8) : \frac{5}{8}

5/8

5/8 = \frac{5}{8}

= \frac{5}{8}

= \frac{5}{2} / \frac{5}{8}

Multiply and divide (left to right)

\frac{5}{2} / \frac{5}{8} : 4

\frac{5}{2} / \frac{5}{8}

Apply the fraction rule:

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

= \frac{5}{2} \cdot \frac{8}{5}

Multiply fractions:

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

= \frac{5 \cdot 8}{2 \cdot 5}

Cancel the common factor:

5

= \frac{8}{2}

Divide the numbers:

\frac{8}{2} = 4

= 4

= 4

Popular Examples

Convert to an Improper Fraction 4 2/3 improper fraction

4 \frac{2}{3}

Evaluate 56-18 long subtraction

56 - 18

Round to the Nearest Hundredth 9.42

ro u n d t o t h e n e a res t h u n d re d t h 9.42

Multiply 15*13 long multiplication

15 \cdot 13

Evaluate 1.25*4 long multiplication

1.25 \cdot 4

Frequently Asked Questions (FAQ)

What is 2 1/2 /(5/8) ?
The solution to 2 1/2 /(5/8) is 4

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