Respuesta :

Answer:

1/12

Step-by-step explanation:

Given

  • 5/14 x 7/30

Solving

  • This can easily be solved by using cross-multiplication
  • If we are given a fraction a/b, it can be rewritten as a x 1/b
  • ⇒ 5 x 1/14 x 7 x 1/30
  • Now combine (7 and 1/14) and (5 and 1/30)
  • ⇒ 7 x 1/14 x 5 x 1/30
  • ⇒ 7/14 x 5/30
  • ⇒ 1/2 x 1/6
  • 1/12

Answer:

[tex]\dfrac{1}{12}[/tex]

Step-by-step explanation:

Rewrite the denominators as products of factors, then cancel the common factors.

[tex]\begin{aligned}\dfrac{5}{14} \times \dfrac{7}{30} & =\dfrac{5}{2 \cdot 7} \times \dfrac{7}{6 \cdot5}\\\\ & = \dfrac{5 \cdot 7}{2 \cdot 7 \cdot 6 \cdot 5}\\\\ & = \dfrac{1}{2 \cdot 6}\\\\ & = \dfrac{1}{12}{\end{aligned}[/tex]

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