Respuesta :
Okay so this is a multiplication problem, so we need to multiply the numerators and denominators of the fractions to get the product.
[tex] \frac{-4}{7} [/tex] × [tex] \frac{-3}{4} [/tex] = [tex] \frac{12}{28} [/tex]
[tex] \frac{-4}{7} [/tex] × [tex] \frac{-3}{4} [/tex] = [tex] \frac{12}{28} [/tex]
The fraction 12/28 is not in lowest terms, so we need to reduce it. List the factors of the numerator and denominator:
Factors of 12: 1, 2, 3, 4, 6, 12
Factors of 28: 1, 2, 4, 7, 14, 28
4 is the largest factor of both 12 and 28, so we need to divide both the numerator and denominator by 4.
Numerator: 12 ÷ 4 = 3
Denominator: 28 ÷ 4 = 7
Write the new fraction:
[tex] \frac{3}{7} [/tex]
Hope this helped :)