Question

simplify the following using distributive property 5/14×4/15+5)14×12/25​

Answer 1

$\textbf{Given:}$

$\mathsf{\dfrac{5}{14}{\times}\dfrac{4}{15}+\dfrac{5}{14}{\times}\dfrac{12}{25}}$

$\textbf{To simplify:}$

$\mathsf{\dfrac{5}{14}{\times}\dfrac{4}{15}+\dfrac{5}{14}{\times}\dfrac{12}{25}}$

$\textbf{Solution:}$

$\textsf{Consider,}$

$\mathsf{\dfrac{5}{14}{\times}\dfrac{4}{15}+\dfrac{5}{14}{\times}\dfrac{12}{25}}$

$\textsf{Using the following distributive law,}$

$\boxed{\mathsf{a{\times}b+a{\times}c=a{\times}(b+c)}}$

$\mathsf{=\dfrac{5}{14}{\times}\left(\dfrac{4}{15}+\dfrac{12}{25}\right)}$

$\mathsf{=\dfrac{5}{14}{\times}\left(\dfrac{20+36}{75}\right)}$

$\mathsf{=\dfrac{5}{14}{\times}\dfrac{56}{75}}$

$\mathsf{=\dfrac{1}{14}{\times}\dfrac{56}{15}}$

$\mathsf{=\dfrac{4}{15}}$

$\implies\boxed{\mathsf{\dfrac{5}{14}{\times}\dfrac{4}{15}+\dfrac{5}{14}{\tmes}\dfrac{12}{25}=\dfrac{4}{15}}}$

Answer 2

Step-by-step explanation:

4/15 is the answer of your question