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Maru [420]
3 years ago
7

The answer and how you got the answer

Mathematics
1 answer:
olasank [31]3 years ago
8 0

Answer:

\frac{34}{15}

Step-by-step explanation:

we are asked to evaluate

4\tfrac{1}{4}÷1\tfrac{7}{8}

Above we are given mixed fraction which can be converted in proper fraction using formula given below

a\tfrac{b}{c}=\frac{a \times c +b}{c}

Hence

4\tfrac{1}{4}=\frac{4 \times 4 +1}{4}

4\tfrac{1}{4}=\frac{17}{4}

Also

1\tfrac{7}{8}=\frac{1 \times 8 +7}{8}

1\tfrac{7}{8}=\frac{15}{8}

Hence

4\tfrac{1}{4} ÷ 1\tfrac{7}{8}

can be written as

\frac{17}{4} ÷ \frac{15}{8}

Also we know the rule for dividing fraction is as given below

\frac{a}{b} ÷ \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}

Hence

\frac{17}{4} ÷ \frac{15}{8} = \frac{17}{4} \times \frac{8}{15}

=\frac{17 \times 2}{15}

=\frac{34}{15}

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