We have: #160; #160;56 #160; #160;49 #160; #160;+ #160;23 #160; #160; #160; #160; #160; #160; #160; #160; #160; #160; #16 ...

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Byju's Answer

Standard IX

Mathematics

BODMAS

Simplify:56-4...

Question

Simplify:
$\frac{5}{6} - \frac{4}{9} + \frac{2}{3}$

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Solution

We have:

$\frac{5}{6} - \frac{4}{9} + \frac{2}{3} L . C . M . of 3, 6 and 9 = (2 \times 3 \times 3) = 18 = \frac{(15 - 8 + 12)}{18} \{[18 \div 6 = 3, 3 \times 5 = 15], [18 \div 9 = 2, 2 \times 4 = 8] and [18 \div 3 = 6, 6 \times 2 = 12]\} = \frac{(27 - 8)}{18} = \frac{19}{18} = 1 \frac{1}{18}$
$3 3, 6, 9 3 1, 2, 3 2 1, 2, 1 1, 1, 1$

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Similar questions

Q. Simplify:

(\frac{2}{3} + \frac{4}{9}) of \frac{3}{5} \div 1 \frac{2}{3} \times 1 \frac{1}{4} - \frac{1}{3}

\frac{5}{6} + \frac{2}{3} - \frac{4}{9} = ?

(a)

1 \frac{1}{3}

(b)

1 \frac{1}{6}

(c)

1 \frac{1}{9}

(d)

1 \frac{1}{18}

Simplify:
(i) $\frac{2}{3} + \frac{5}{6} - \frac{1}{9}$
(ii) $8 - 4 \frac{1}{2} - 2 \frac{1}{4}$
(iii) $8 \frac{5}{6} - 3 \frac{3}{8} + 1 \frac{7}{12}$

Q. Simplify:
(i)

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

(ii)

\frac{5}{3} - \frac{7}{6} + \frac{- 2}{3}

(iii)

\frac{5}{4} - \frac{7}{6} - \frac{- 2}{3}

(iv)

\frac{- 2}{5} - \frac{- 3}{10} - \frac{- 4}{7}

(v)

\frac{5}{6} + \frac{- 2}{5} - \frac{- 2}{15}

(vi)

\frac{3}{8} - \frac{- 2}{9} + \frac{- 5}{36}

Q. Simplify

49^{- 5} \times 49^{3}

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Simplify: 56-49+23

We have: 56 - 49 + 23 L.C.M. of 3, 6 and 9 =2 × 3 × 3 = 18 = 15 - 8 + 1218 18 ÷ 6 = 3, 3 × 5 = 15, 18 ÷ 9 = 2, 2 × 4 = 8 and 18 ÷ 3 = 6, 6 × 2 = 12 = 27 - 818 =1918 = 1118 3 3, 6, 93 1, 2, 32 1, 2, 1 1, 1, 1

Simplify:
$\frac{5}{6} - \frac{4}{9} + \frac{2}{3}$