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