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Add, subtract or multiply recurring decimals by converting each to a fraction

This type of question, asked 4 times: 15 Nov 2020 Tier II, 29 Jan 2022 Tier II, 3 Feb 2022 Tier II, 8 Aug 2022 Tier II. All 4 questions below, oldest first.

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  1. Question 1

    15 Nov 2020 Tier II

    19
    The value of (2.4‾×0.6‾×3×0.16‾)×[0.27‾×(0.83‾÷0.16‾)](2.\overline{4} \times 0.\overline{6} \times 3 \times 0.1\overline{6}) \times [0.\overline{27} \times (0.8\overline{3} \div 0.1\overline{6})] is:

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  2. Question 2

    29 Jan 2022 Tier II

    14
    The value of 0.46‾+0.723‾−0.39‾×0.7‾0.4\overline{6} + 0.7\overline{23} - 0.3\overline{9} \times 0.\overline{7} is:

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  3. Question 3

    3 Feb 2022 Tier II

    14
    The value of 11.4‾+22.567‾−33.59‾11.\overline{4} + 22.5\overline{67} - 33.5\overline{9} is:

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  4. Question 4

    8 Aug 2022 Tier II

    84
    If A=0.312‾A = 0.3\overline{12}, B=0.415‾B = 0.4\overline{15} and C=0.309‾C = 0.30\overline{9} , then what is the value of A + B + C?

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