(i) \(\frac{2}{5}\)× 5 \(\frac{1}{4}\) = \(\frac{2}{5}\) × \(\frac{21}{4}\) =\(\frac{21}{10}\)
This is an improper fraction and it can be written as a mixed fraction as 2\(\frac{1}{10}\)
(ii) 6 \(\frac{2}{5}\) ×\(\frac{7}{9}\)= \(\frac{32}{5}\) × \(\frac{7}{9}\) =\(\frac{224}{45}\)
This is an improper fraction and it can be written as a mixed fraction as 4 \(\frac{44}{45}\)
(iii) \(\frac{3}{2}\)× 5 \(\frac{1}{3}\) = \(\frac{3}{2}\) ×\(\frac{16}{3}\) = 8
This is a whole number.
(iv) \(\frac{5}{6}\)× 2 \(\frac{3}{7}\) = \(\frac{5}{6}\)× \(\frac{17}{7}\)= \(\frac{85}{42}\)
This is an improper fraction and it can be written as a mixed fraction as 2 \(\frac{1}{42}\)
(v) 3 \(\frac{2}{5}\) × \(\frac{4}{7}\) = \(\frac{17}{5}\)× \(\frac{4}{7}\) = \(\frac{68}{35}\)
This is an improper fraction and it can be written as a mixed fraction as 1 \(\frac{33}{35}\)
(vi) 2 \(\frac{3}{5}\) × 3 = \(\frac{13}{5}\)× 3 = \(\frac{39}{5}\)
This is an improper fraction and it can be written as a mixed fraction as 7 \(\frac{4}{5}\)
(vii) 3\(\frac{4}{7}\) ×\(\frac{3}{5}\) = \(\frac{25}{7}\)×\(\frac{3}{5}\)= \(\frac{15}{7}\)
This is an improper fraction and it can be written as a mixed fraction as 2\(\frac{1}{7}\)
Write equations for the following statements:
(i) The sum of numbers x and 4 is 9.
(ii) 2 subtracted from y is 8.
(iii) Ten times a is 70.
(iv) The number b divided by 5 gives 6.
(v) Three-fourth of t is 15.
(vi) Seven times m plus 7 gets you 77.
(vii) One-fourth of a number x minus 4 gives 4.
(viii) If you take away 6 from 6 times y, you get 60.
(ix) If you add 3 to one-third of z, you get 30