What is 3/4-2 1/3+7/2-1/5 ?

The solution to 3/4-2 1/3+7/2-1/5 is 1 43/60

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 3/4-2 1/3+7/2-1/5

simplify

\frac{3}{4} - 2 \frac{1}{3} + \frac{7}{2} - \frac{1}{5}

1 \frac{43}{60}

Decimal Notation

1.71666 \dots

Solution steps

\frac{3}{4} - 2 \frac{1}{3} + \frac{7}{2} - \frac{1}{5}

Convert mixed numbers to improper fractions:

2 \frac{1}{3} = \frac{7}{3}

= \frac{3}{4} - \frac{7}{3} + \frac{7}{2} - \frac{1}{5}

Least Common Multiplier of

4, 3, 2, 5 : 60

Adjust Fractions based on the LCM

= \frac{45}{60} - \frac{140}{60} + \frac{210}{60} - \frac{12}{60}

Apply the fraction rule:

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

= \frac{45 - 140 + 210 - 12}{60}

Add the numbers:

45 - 140 + 210 - 12 = 103

= \frac{103}{60}

Convert improper fractions to mixed numbers:

\frac{103}{60} = 1 \frac{43}{60}

= 1 \frac{43}{60}

99 \cdot 3

1 - 2 sin^{2} (5 θ)

\frac{3}{1} - \frac{1}{2}

\frac{\frac{1}{y}}{\frac{y - 6}{6 y}}

\frac{r + 2}{r + 4} - \frac{3}{r + 1}