Question

1 1/3 ÷ 1/4 + 2/5 ÷ 1/4 + 4/15 ÷ 1/4 RSM QUESTION HELLLLLLLLLLLLLLLP

Answer 1

For this case we must simplify the following expression:

$1 \frac {1} {3}$÷ $\frac {1} {4}$+ $\frac {2} {5}$÷$\frac {1} {4}$+ $\frac {4} {15}$÷$\frac {1 }{4}$

We convert mixed numbers to improper fractions:

$\frac {3 * 1 + 1} {3}$ ÷ $\frac {1} {4}$ + $\frac {2} {5}$÷$\frac {1} {4}$ + $\frac {4} {15}$ ÷ $\frac {1} {4}$=

$\frac {4} {3}$ ÷$\frac {1} {4}$+ $\frac {2} {5}$÷ $\frac {1} {4}$+$\frac {4} {15}$÷$\frac {1} {4}$ =

We first solve the divisions:

$\frac {\frac {4} {3}} {\frac {1} {4}} + \frac {\frac {2} {5}} {\frac {1} {4}} + \frac {\frac {4} {15}} {\frac {1} {4}} =\\\frac {4 * 4} {3 * 1} + \frac {4 * 2} {5 * 1} + \frac {4 * 4} {15 * 1} =\\\frac {16} {3} + \frac {8} {5} + \frac {16} {15} =$

We rewrite the fractions:

$\frac {16 * 5} {3 * 5} + \frac {8 * 3} {5 * 3} + \frac {16} {15} =\\\frac {80} {15} + \frac {24} {15} + \frac {16} {15} =\\\frac {80 + 24 + 16} {15} =\\\frac {120} {15} =\\\frac {24} {3} =\\8$

Answer:

8