Question

Can you help me with this please?

Answer 1

The solution associated with rational numbers is descriptively illustrated below with a detailed explanation.

What is a rational number?

• An irrational number can sometimes be stated using fractions, but a rational number may be expressed even as a ratio of two integers with the denominator not equal to zero.
• Irrational numbers were non-terminating and non-recurring, whereas rational numbers have terminating decimals.

Problems with the division of Rational Numbers:

(a) $\frac{5}{7}$ ÷ $\frac{-11}{5} = \frac{5}{7} * \frac{5}{11} = \frac{25}{77}$

(b) $\frac{\frac{-4}{5} }{\frac{3}{10} }$

$\frac{-4}{5}$÷$\frac{3}{10}$

$\frac{-4}{5} *\frac{10}{3} \\=\frac{-8}{3}$

(c) $\frac{-7}{17}$÷$\frac{13}{34}$

$\frac{-7}{17} X\frac{34}{13}$

(d) $\frac{-2}{7}$÷$(\frac{-2}{21}$ ÷ $\frac{1}{7} )$

$\frac{-2}{7}$ ÷$(\frac{-2}{21} X\frac{7}{1} )$

$= \frac{-2}{7} X \frac{-3}{2}$

$=\frac{3}{7}$

He multiplied the denominator and numerator.

(e)

$\frac{-1 \frac{1}{2} }{1\frac{2}{3} } \\\\=\frac{\frac{3}{2} }{\frac{5}{3} } \\\\=\frac{3}{2} X \frac{3}{5} \\\\=\frac{9}{10}$

(f) $\frac{-3}{4}$ ÷ $\frac{2}{5} = \frac{-3}{4} X \frac{5}{2} =\frac{-15}{8}$

0.75÷0.4 = 1.875

$\frac{3}{4}$ ÷ $\frac{2}{5} = \frac{3}{4} X \frac{-5}{2} =\frac{-15}{8}$

(g)

Reciprocal of $-1\frac{1}{17} = \frac{-17}{18}$

Reciprocal of $\frac{-17}{18} = \frac{-18}{17}$

The above expressions are multiplicative inverse as $\frac{-17}{18} X \frac{-18}{17} =1$

Learn more about rational numbers here:

brainly.com/question/12088221

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