Question

Reduce the following rational numbers in standard form. (i) 35/-15 (ii) -36/-216

Answer 1

Answer:

We will get the standard form $(i) \frac{35}{-15}= -\frac{7}{3} .$ and $(ii) \frac{-36}{-216} =\frac{1}{6} .$

Step-by-step explanation:

• As per the question we have to evaluate the given data.

        Given data:- (i) 35/-15

                             (ii) -36/-216

       To find:- Convert  in standard form.

       Solution:-

• We know that Rational number is known as standard form.

• Usually,  $\frac{a}{b}$ is said to be a standard form.

         (i)35/-1

• Since the denominator, -1 has a negative sign multiply both numerator and denominator with -1 to make it positive.

           $=\frac{35}{-15} \\\\=\frac{35\times(-1)}{-15 \times(-1)} \\\\=\frac{-35}{15}$

• Now GCDof (35,15) is 5.
• Then multiply and divide both numerator and denominator by 5.

         $\begin{array}{l}=\frac{-35}{15} \\\\=\frac{((-35) \div 5)}{15 \div 5} \\\\=-\frac{7}{3}\end{array}$

         (ii) -36/-216

• now GCD of (36,216) is 36.

• Then multiply and divide both numerator and denominator by 36.

          $=\frac{-36}{-216}\\\\=\frac{36}{216} \\\\=\frac{(36 \div 36)}{216 \div 36} \\\\=\frac{1}{6}\end{array}$

Answer 2

Answer:

1st. -35/15, 2nd. 1/6

Step-by-step explanation:

Multiply -35/15 and 36/216 by -1

35×(-1) = -35/ -15×(-1) = 15

= -35/15.

2nd) -36/-216

HCF = 36

so, -36 ÷ 36 = -1 / -216 ÷ 36 = - 6

= -1/-6. Multiply them with -1, and you get 1/6.

Have a good day