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Simplification
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Q261

Open question

\frac{1}{x + \frac{1}{y + \frac{2}{z + \frac{1}{4}}}} = \frac{29}{79},

where x, y and z are natural numbers, then the value of (2x + 3y - z) is:

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Q262

Open question

\frac{1}{5}

\frac{1}{4}

of a number is 35, then how much is

\frac{7}{8}

of that number?

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Q263

Open question

A students was asked to find the value of

9 \frac{4}{9} \div 11 \frac{1}{3} of \frac{1}{6} + (1 \frac{1}{3} \times 1 \frac{4}{5} \div \frac{3}{5}) \times 2 \frac{1}{6} of \frac{2}{3} \div \frac{4}{3} of \frac{2}{3} .

His answer was

19 \frac{1}{4} .

What is the difference between his answer and the correct answer?

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Q264

Open question

What is the simplified value of the following?

\frac{9 \div \frac{3}{7} of ( 9 + 6 \times 4 - 2 ) + [ \frac{1}{5} \div \frac{7}{25} - { \frac{5}{8} + \frac{6}{16} } ]}{24 \div 16 - 10 + 36 \div ( 5 + 20 \div 4 - 1 )}

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Q265

Open question

The value of

2. 13 \div 3. 12

is:

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Q266

Open question

The value of

[\frac{4}{7} of 2 \frac{4}{5} \times 1 \frac{2}{3} - (3 \frac{1}{2} - 2 \frac{1}{6})] \div (3 \frac{1}{5} \div 4 \frac{1}{2} of 5 \frac{1}{3}) is:

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Q267

Open question

The value of

3 \frac{1}{5} \div 4 \frac{1}{2} of 5 \frac{1}{3} + \frac{1}{8} \div \frac{1}{2} of \frac{1}{4} - \frac{1}{4} (\frac{1}{2} \div \frac{1}{8} \times \frac{1}{4}) is:

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Q268

Open question

Find the value of the following expression.

\frac{1 \frac{2}{3} \div \frac{5}{6} \times 6 + \frac{4}{5} \times \frac{1}{2} + \frac{2}{3}}{2 - [ 1 \frac{1}{3} \times ( - \frac{3}{5} ) - 6 { \frac{3}{5} - ( 3 - \frac{3}{10} ) } ]}

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Q269

Open question

The value of

[5 \frac{4}{9} \div (\frac{11}{4} - \frac{13}{6})^{2}] \div [7 \frac{3}{11} of 8 \frac{4}{5} \div 1 \frac{5}{7} - \frac{4}{3}]^{2} is:

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Q270

Open question

The value of

\frac{40 + \frac{3}{4} of 32}{37 + \frac{3}{4} of ( 34 - 6 )}

is:

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Q271

Open question

Simplify the following:

\frac{( 0.1 ) ^{2} + ( 0.01 ) ^{2} + ( 0.009 ) ^{2} + 2 [ 0.1 \times 0.01 + 0.01 \times 0.009 + 0.009 \times 0.1 ]}{0.01 + 0.001 + 0.0009}

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Q272

Open question

The value of

\frac{4}{5} \div 3 \frac{1}{4} of \frac{8}{13} - \frac{\frac{1}{5} - \frac{1}{8}}{\frac{1}{5} + \frac{1}{8}} \times 5 \frac{1}{5} + \frac{5}{6} is:

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Q273

Open question

Which of the following statement is correct?
I. The value of 100² - 99² + 98² - 97² + 96² - 95² + 94² - 93² + . . . . + 2² - 1² is 5050.
II. If 8x +

\frac{8}{x}

= -16 and x < 0, then the value of x¹⁹⁷ + x^-197 is 2.

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Q274

Open question

The value of

\frac{3}{4} \times 2 \frac{2}{3} \div \frac{5}{9} of 1 \frac{1}{5} + \frac{2}{23} \times 3 \frac{5}{6} \div \frac{2}{7} of 2 \frac{1}{3}

is:

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Q275

Open question

The value of

3 \frac{1}{3} \div 2 \frac{1}{2} of 1 \frac{3}{5} + (\frac{3}{8} + \frac{1}{7} \times 1 \frac{3}{4})

is:

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Q276

Open question

Evaluate: {7 + 7 × (7 + 7 ÷ 7)} + 7 ÷ 7.

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Q277

Open question

Find the simplest value of

\frac{6.25 - 1.96}{1.1} .

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Q278

Open question

Find the value of

225 - [42 - {25 - (18 - 18 + 13)}] .

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Q279

Open question

The value of

\frac{33}{40} + \frac{1}{5} [\frac{4}{5} - \frac{1}{5} \times (\frac{7}{8} - \frac{5}{4})]

is:

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Simplificationpractice.

Simplification
practice.