The solution to (3/5)/30 is 1/50

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

Simplify (3/5)÷30

Solution

(3/5) /30

Solution

\frac{1}{50}

Solution steps

(3/5) /30

Follow the PEMDAS order of operations

Calculate within parentheses

(3/5) : \frac{3}{5}

3/5

3/5 = \frac{3}{5}

= \frac{3}{5}

= \frac{3}{5} /30

Multiply and divide (left to right)

\frac{3}{5} /30 : \frac{1}{50}

\frac{3}{5} /30

Convert element to fraction:

30 = \frac{30}{1}

= \frac{3}{5} \div \frac{30}{1}

Apply the fraction rule:

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

= \frac{3}{5} \cdot \frac{1}{30}

Cross-cancel common factor:

3

3, 30

Greatest Common Divisor (GCD)

Prime factorization of

3 : 3

3

3

is a prime number, therefore no factorization is possible

= 3

Prime factorization of

30 : 2 \cdot 3 \cdot 5

30

30

divides by

230 = 15 \cdot 2

= 2 \cdot 15

15

divides by

315 = 5 \cdot 3

= 2 \cdot 3 \cdot 5

2, 3, 5

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 3 \cdot 5

The prime factors common to

3, 30

are

= 3

= \frac{1}{5} \cdot \frac{1}{10}

Multiply fractions:

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

= \frac{1 \cdot 1}{5 \cdot 10}

Multiply the numbers:

1 \cdot 1 = 1

= \frac{1}{5 \cdot 10}

Multiply the numbers:

5 \cdot 10 = 50

= \frac{1}{50}

= \frac{1}{50}

Popular Examples

45-36 long subtraction

45 - 36

1.2/2 long division

\frac{1.2}{2}

Convert to a Simplified Fraction 0.88 decimal to fraction

0.88

Divide (1/2)÷2

(1/2) /2

Convert to a Mixed Number 4.67 mixed number

4.67

Frequently Asked Questions (FAQ)

What is (3/5)/30 ?
The solution to (3/5)/30 is 1/50

Simplify (3/5)÷30

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is (3/5)/30 ?