Answer:
[tex]\frac{34}{15} [/tex]
Step-by-step explanation:
we are asked to evaluate
[tex]4\tfrac{1}{4}[/tex]÷[tex]1\tfrac{7}{8}[/tex]
Above we are given mixed fraction which can be converted in proper fraction using formula given below
[tex]a\tfrac{b}{c}=\frac{a \times c +b}{c}[/tex]
Hence
[tex]4\tfrac{1}{4}=\frac{4 \times 4 +1}{4}[/tex]
[tex]4\tfrac{1}{4}=\frac{17}{4}[/tex]
Also
[tex]1\tfrac{7}{8}=\frac{1 \times 8 +7}{8}[/tex]
[tex]1\tfrac{7}{8}=\frac{15}{8}[/tex]
Hence
[tex]4\tfrac{1}{4}[/tex] ÷ [tex]1\tfrac{7}{8}[/tex]
can be written as
[tex]\frac{17}{4}[/tex] ÷ [tex]\frac{15}{8}[/tex]
Also we know the rule for dividing fraction is as given below
[tex]\frac{a}{b}[/tex] ÷ [tex]\frac{c}{d}[/tex] = [tex]\frac{a}{b} \times \frac{d}{c}[/tex]
Hence
[tex]\frac{17}{4}[/tex] ÷ [tex]\frac{15}{8}[/tex] = [tex]\frac{17}{4} \times \frac{8}{15}[/tex]
=[tex]\frac{17 \times 2}{15} [/tex]
=[tex]\frac{34}{15} [/tex]
