Write the following rational numbers as a decimal numbers: 2 3 , - 5 6 , 8 15 , 3 11 , 19 45

Given: 2 3 , - 5 6 , 8 15 , 3 11 , 19 45 We know that, Rational numbers can be represented in decimal forms by just dividing numerator ' p ' by the denominator ' q ' (as rational numbers is in the form of p q ). Therefore, the decimal form of the given rational numbers are, 2 3 = 0 . 66666 . . . . = 0 . 6 - 5 6 = - 0 . 83333 . . . = - 0 . 8 3 8 15 = 0 . 533333 . . = 0 . 5 3 3 11 = 0 . 272727 . . . . = 0 . 27 19 45 = 0 . 4222 . . . = 0 . 4 2 Hence, the decimal number form of the given rational numbers are 0 . 6 , - 0 . 8 3 , 0 . 5 3 , 0 . 27 ¯ , 0 . 4 2 .

Express - 3 8 as an equivalent fraction when the numerator is - 6 .

Equivalent rational numbers look different but their values are equal. If we multiply/divide the numerator and the denominator of the rational number by the same number we will get the equivalent rational number of the given rational number. We know, - 3 × 2 = - 6 To find the equivalent rational number of the given number we need to multiply the numerator and the denominator by 2 . - 3 8 = - 3 × 2 8 × 2 = - 6 16 Thus, the equivalent rational number is - 6 16 .

Express - 3 8 as an equivalent fraction when the numerator is 12 .

Equivalent rational numbers look different but their values are equal. If we multiply/divide the numerator and the denominator of the rational number by the same number we will get the equivalent rational number of the given rational number. We know, - 3 × - 4 = 12 To find the equivalent rational number of the given number we need to multiply the numerator and the denominator by ( - 4 ) . - 3 8 = - 3 × - 4 8 × - 4 = 12 - 32 Thus, the equivalent rational number is 12 - 32 .