Logo
    Logo

    Subject

    Quantitative Aptitude

    Topic

    Simplification

    Simplify: 34÷94of23  −12−1312+13×313+56\frac{3}{4} \div \frac{9}{4}of\frac{2}{3}\; - \frac{{\frac{1}{2} - \frac{1}{3}}}{{\frac{1}{2} + \frac{1}{3}}} \times 3\frac{1}{3} + \frac{5}{6}

    ক)
    2/5
    খ)
    3/5
    গ)
    1/4
    ঘ)
    1/3
    ঙ)
    2/3

    Explanation

    Given expression: 34÷94of23−12−1312+13×313+56\frac{3}{4} \div \frac{9}{4}of\frac{2}{3} - \frac{{\frac{1}{2} - \frac{1}{3}}}{{\frac{1}{2} + \frac{1}{3}}} \times 3\frac{1}{3} + \frac{5}{6} =34÷32  −  3−263+26×3×3+13+56=34×23  −  1656×103+56=12  −15×103+56=12  −23+56=3−4+56  =46=23\begin{array}{l} = \frac{3}{4} \div \frac{3}{2}\; - \;\frac{{\frac{{3 - 2}}{6}}}{{\frac{{3 + 2}}{6}}} \times \frac{{3 \times 3 + 1}}{3} + \frac{5}{6}\\ = \frac{3}{4} \times \frac{2}{3}\; - \;\frac{{\frac{1}{6}}}{{\frac{5}{6}}} \times \frac{{10}}{3} + \frac{5}{6}\\ = \frac{1}{2}\; - \frac{1}{5} \times \frac{{10}}{3} + \frac{5}{6}\\ = \frac{1}{2}\; - \frac{2}{3} + \frac{5}{6}\\ = \frac{{3 - 4 + 5}}{6}\;\\ = \frac{4}{6} = \frac{2}{3} \end{array}

    Related questions

    The difference of 1 (3/16) and its reciprocal is equal toWhat should come in place of question mark (?) in the following question?  (43% of 2750) – (38% of 2990) =?How many (1/8)s are there in 37 (1/2)?If x=(1.96)−(0.04)x = \sqrt {\left( {1.96} \right)} - \sqrt {\left( {0.04} \right)} then the value of x isFind the value -2+(-2)-{-(2)}-2Let a = (4 ÷ 3) ÷ 3 ÷ 4, b = 4 ÷ (3 ÷ 3) ÷ 4, c = 4 ÷ 3 ÷ (3 ÷ 4). The maximum value among the above three isWhat will come in place of the question mark (?) in the following equation? 160 km 80 m ÷ 6 = ?If I = (3/4) ÷ (5/6), II = 3 ÷ [(4 ÷ 5) ÷ 6], III = [3 ÷ (4 ÷ 5)] ÷ 6, IV = 3 ÷ 4 ÷ (5 ÷ 6), then

    Find Tutors

    View all Tutors