What is (17/4)/3 1/3 ?

The solution to (17/4)/3 1/3 is 1 11/40

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

Simplify (17/4)÷3 1/3

Solution

(17/4) /3 \frac{1}{3}

Solution

1 \frac{11}{40}

Solution steps

(17/4) /3 \frac{1}{3}

Convert mixed numbers to improper fractions:

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

3 \frac{1}{3}

Convert mixed numbers to improper fraction:

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

3 \frac{1}{3} = \frac{3 \cdot 3 + 1}{3}

= \frac{10}{3}

= (17/4) / \frac{10}{3}

Follow the PEMDAS order of operations

Calculate within parentheses

(17/4) : \frac{17}{4}

17/4

17/4 = \frac{17}{4}

= \frac{17}{4}

= \frac{17}{4} / \frac{10}{3}

Multiply and divide (left to right)

\frac{17}{4} / \frac{10}{3} : \frac{51}{40}

\frac{17}{4} / \frac{10}{3}

Apply the fraction rule:

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

= \frac{17}{4} \cdot \frac{3}{10}

Multiply fractions:

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

= \frac{17 \cdot 3}{4 \cdot 10}

Multiply the numbers:

17 \cdot 3 = 51

= \frac{51}{4 \cdot 10}

Multiply the numbers:

4 \cdot 10 = 40

= \frac{51}{40}

= \frac{51}{40}

Convert improper fractions to mixed numbers:

\frac{51}{40} = 1 \frac{11}{40}

\frac{51}{40} = 1

Remainder

11

\frac{51}{40}

Write the problem in long division format

40 \overline{∣ 51}

Divide

51

40

to get

1

Divide

51

40

to get

1

1 40 \overline{∣ 51}

Multiply the quotient digit

(1)

by the divisor

40

1 40 \overline{∣ 51} \underline{40}

Subtract

40

from

51

1 40 \overline{∣ 51} \underline{40} 11

1 40 \overline{∣ 51} \underline{40} 11

The solution for Long Division of

\frac{51}{40}

1

with remainder of

11

1 Remainder 11

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{51}{40} = 1 \frac{11}{40}

= 1 \frac{11}{40}

= 1 \frac{11}{40}

Popular Examples

Round to the Nearest Hundredth 7.065

ro u n d t o t h e n e a res t h u n d re d t h 7.065

Write the Fraction in Simplest Form (5/14)÷(3/4)

(5/14) / (3/4)

Subtract 180-117 long subtraction

180 - 117

Divide Using Long Division 17÷6 long division

\frac{17}{6}

Convert to a Mixed Number 15/11 mixed number

\frac{15}{11}

Frequently Asked Questions (FAQ)

What is (17/4)/3 1/3 ?
The solution to (17/4)/3 1/3 is 1 11/40