Respuesta :

To divide fractions, you multiply by the reciprocal of the second fraction. Let's convert the mixed numbers to improper fractions first:1 1/4 = 5/4 4 7/8 = 39/8So, the division becomes:(5/4) ÷ (39/8)To divide, multiply by the reciprocal:(5/4) * (8/39)Now, multiply across:(5 * 8) / (4 * 39) = 40/156This fraction can be simplified by finding the greatest common divisor, which is 4:40 ÷ 4 = 10 156 ÷ 4 = 39So, the simplified fraction is:10/39
anbu40

Answer:

[tex]\sf A) \dfrac{10}{39}[/tex]

Step-by-step explanation:

Fraction division:

  • Convert mixed fraction to improper fraction.

                [tex]\sf 1\dfrac{1}{4}=\dfrac{5}{4}\\\\\\4\dfrac{7}{8}=\dfrac{39}{8}\\\\\\[/tex]

  • Use KCF method. Keep the first fraction. Change division to multiplication. Flip the second fraction.

            [tex]1\dfrac{1}{4} \ \div 4\dfrac{7}{8}=\dfrac{5}{4} \ \div \dfrac{39}{8}\\\\\\~~~~~~~~~~~~~ =\dfrac{5}{4}*\dfrac{8}{39}\\\\\\[/tex]

  • Simplify.

                           [tex]~~~~~~~~~~~~~ = \dfrac{5}{1}*\dfrac{2}{39}\\\\\\~~~~~~~~~~~~~ = \dfrac{10}{39}[/tex]

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