Grade 7 Maths Rational Numbers Quiz (Part A)

• none of these

Answer explanation

To convert to standard form, divide both numerator and denominator by the greatest common divisor, which is 11. This gives -3/5.

• none of these

Answer explanation

To convert -102/119 to standard form, divide both numerator and denominator by their greatest common divisor, which is 17. This simplifies to -6/7.

• -14

• 14

• 21

• -21

Answer explanation

To find x, cross multiply: x*(-3) = 6*7. This simplifies to -3x = 42. Dividing by -3 gives x = -14. Therefore, the correct value of x is -14.

Answer explanation

To get 1 from -5/9, we need to add 14/9. -5/9 + 14/9 = 9/9 = 1. Therefore, the correct choice is 14/9.

Answer explanation

To find what should be subtracted from -3/4 to get 5/6, we need to subtract 5/6 - (-3/4) = 5/6 + 3/4 = 20/24 + 18/24 = 38/24 = 19/12. Therefore, the correct answer is -19/12.

• cannot be compared

Answer explanation

To compare fractions, find a common denominator. Here, the common denominator is 12. Convert both fractions to have the same denominator: -10/12 and -7/12. -10/12 is smaller than -7/12, so 5/-6 is smaller than -7/12.

• cannot be compared

Answer explanation

To compare fractions, find a common denominator. Here, the common denominator is 15. So, -10/15 is larger than -12/15. Therefore, 2/-3 is larger.

Reciprocal of -6 is

• 6

• none of these

Answer explanation

The reciprocal of -6 is -1/6 because the reciprocal of a number is 1 divided by that number. Therefore, the reciprocal of -6 is -1/6.

• none of these

Answer explanation

The multiplicative inverse of a fraction is found by flipping the fraction. Therefore, the multiplicative inverse of -2/3 is -3/2.

Answer explanation

To subtract -2 1/9 from -6, we need to find a common denominator. -6 = -54/9. Therefore, -54/9 - 2/9 = -56/9 = -8 1/9.