Question

Simplify: 4 2/3 + 2 3/5 - 5 3/6​

Answer 1

Statement:-

$\tt4 \frac {2}{3} + 2 \frac {3}{5} + 5 \frac {3}{6}$

Simplification:-

$\tt\frac{14}{3} + \frac{13}{5} + \frac{33}{6}$

(Solving mixed fractions)

LCM of 3 , 5 and 6:- 30

$\small\tt\frac{14 \times 10}{3 \times 10} = \frac{140}{30} \\ \\ \tt\frac{13 \times 6}{5 \times 6} = \frac{78}{30} \\ \\ \tt\frac{33 \times 5}{6 \times 5} = \frac{165}{30}$

Adding the terms:-

$\large \tt\frac{145}{30} + \frac{78}{30} + \frac{165}{3} = \frac{388}{30}$

Convert the answer into mixed fraction as the question is given in mixed fraction:-

$\large\therefore\tt \frac{388}{30} = 12\frac {28}{30}$

Answer 2

Explanation:

5Statement:-

\tt4 \frac {2}{3} + 2 \frac {3}{5} + 5 \frac {3}{6}4

3

2

+2

5

3

+5

6

3

Simplification:-

\tt\frac{14}{3} + \frac{13}{5} + \frac{33}{6}

3

14

+

5

13

+

6

33

(Solving mixed fractions)

LCM of 3 , 5 and 6:- 30

\begin{gathered} \small\tt\frac{14 \times 10}{3 \times 10} = \frac{140}{30} \\ \\ \tt\frac{13 \times 6}{5 \times 6} = \frac{78}{30} \\ \\ \tt\frac{33 \times 5}{6 \times 5} = \frac{165}{30} \end{gathered}

3×10

14×10

=

30

140

5×6

13×6

=

30

78

6×5

33×5

=

30

165

Adding the terms:-

\large \tt\frac{145}{30} + \frac{78}{30} + \frac{165}{3} = \frac{388}{30}

30

145

+

30

78

+

3

165

=

30

388

Convert the answer into mixed fraction as the question is given in mixed fraction:-

\large\therefore\tt \frac{388}{30} = 12\frac {28}{30}∴

30

388

=12

30

28