What is (2/3*5/7+1/3)/(\frac{3/8){5/4}} ?

The solution to (2/3*5/7+1/3)/(\frac{3/8){5/4}} is 170/63

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (2/3*5/7+1/3)/(\frac{3/8){5/4}}

simplify

\frac{\frac{2}{3} \cdot \frac{5}{7} + \frac{1}{3}}{\frac{\frac{3}{8}}{\frac{5}{4}}}

\frac{170}{63}

Decimal Notation

2.69841 \dots

Solution steps

\frac{\frac{2}{3} \cdot \frac{5}{7} + \frac{1}{3}}{\frac{\frac{3}{8}}{\frac{5}{4}}}

Apply the fraction rule:

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

= \frac{( \frac{2}{3} \cdot \frac{5}{7} + \frac{1}{3} ) \frac{5}{4}}{\frac{3}{8}}

Apply the fraction rule:

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

= \frac{( \frac{2}{3} \cdot \frac{5}{7} + \frac{1}{3} ) \frac{5}{4} \cdot 8}{3}

(\frac{2}{3} \cdot \frac{5}{7} + \frac{1}{3}) \frac{5}{4} \cdot 8 = \frac{170}{21}

= \frac{\frac{170}{21}}{3}

Apply the fraction rule:

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

= \frac{170}{21 \cdot 3}

Multiply the numbers:

21 \cdot 3 = 63

= \frac{170}{63}

3 (4 c + 1) - 4 (4 c - 3)

2 x^{2} y^{3} z + 3 x^{2} y^{3} z

\frac{( x ^{4} - 5 x ^{3} - 10 x ^{2} + 15 x )}{( - 5 x )}

\frac{x}{2} \cdot x

- 41

What is (2/3*5/7+1/3)/(\frac{3/8){5/4}} ?
The solution to (2/3*5/7+1/3)/(\frac{3/8){5/4}} is 170/63