Answer:

1. 30 x ⅚

| If there’s a whole number, simply write 1 as its denominator. |

30 x 5 = 150 ÷ 6 = 25

1      6      6   ÷ 6     1   or  25

| It is understood that if 1 is the denominator, it is a whole number. |

2. ⅖ x ⅙

2   x   1   = 2 ÷  2  =  1

5        6     30     2     15

3. ⁴/₇ x ¹⁴/₁₈

4  x  14  =  68

7      18     126

4. 3 ³/₄ x ²⁴/₃₀

| Turn mixed fraction into an improper fraction.

4 ( denominator ) x 3 ( whole number ) + 3 ( numerator ) = 15

Then copy the old denominator. 15/4. |

15  x  24  =  360  ÷ 120 =   3

4       30      120  ÷ 120      1  or  3

5. 2 ⅐ x 3 ⅘

| Turn mixed numbers into an improper fraction.

7 ( denominator ) x 2 ( whole number ) + 1 ( numerator ) = 15

5 ( denominator ) x 3 ( whole number ) + 4 ( numerator ) = 19

Then copy the old denominators. 15/7 x 19/5. |

15  x  19  =  285

7        5        35

| Turn the improper fraction into a mixed fraction, by dividing

        8

    35 / 285     8 is our whole number, 5 is our numerator,

      280   and copy the old denominator.

             5           |

285    

35       or        8  5/35