MATHS TRUE / FALSE

The product of a proper fraction and and an improper fraction is always less than the improper fraction.

There exists a fraction whose multiplicative inverse is equal to the fraction itself.

The product of two proper fractions is always greater than each of the two proper fractions.

The reciprocal of a proper fraction is an improper fraction.

Every unit fraction is equal to 1.

Any improper fraction is always greater than any proper fraction.

The product of two proper fractions can be an improper fraction.

In an improper fraction, the numerator is always greater than the denominator.