Answer:
Given expression:
[tex]\sf 4 \frac{3}{4} \times 3 \frac{1}{8}[/tex]
Convert the mixed numbers into improper fractions by multiplying the whole number by the denominator of the fraction and adding it to the numerator:
[tex]\sf \implies \dfrac{4 \times 4 +3}{4} \times \dfrac{2 \times 8+1}{8}[/tex]
[tex]\sf \implies \dfrac{16 +3}{4} \times \dfrac{16+1}{8}[/tex]
[tex]\sf \implies \dfrac{19}{4} \times \dfrac{17}{8}[/tex]
Multiply the denominators and the numerators:
[tex]\sf \implies \dfrac{19 \times 17}{4 \times 8}[/tex]
[tex]\implies \sf \dfrac{323}{32}[/tex]
Convert back into a mixed number:
[tex]\implies \sf \dfrac{320+3}{32}[/tex]
[tex]\implies \sf \dfrac{320}{32}+\dfrac{3}{32}[/tex]
[tex]\sf \implies 10 \frac{3}{32}[/tex]
