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This example has been taken directly from the solution given by Basic Math Decoded to the formulated problem.

**4 6**

**2 — ÷ 3 ——**

**7 11**

**Convert mixed numbers to fractions. Multiply the integer portion by the denominator and add the numerator, the result will be the numerator of the fraction, keeping the same denominator.**

2 × 7 + 4 3 × 11 + 6

= ————————— ÷ ——————————

7 11

18 39

= —— ÷ ——

7 11

**Invert the denominator fraction and multiply the fractions.**

18 11

= —— × ——

7 39

**It is often simplest to 'cancel' before doing the multiplication. Cancelling is dividing one factor of the numerator and one factor of the denominator by the same number.**

Simplify the 18 of the first numerator, and the 39 of the second denominator. Use the number 3 for the simplification.

6 11

= — × ——

7 13

**Multiply the numerators of the fractions and multiply the denominators of the fractions. Place the product of the numerators over the product of the denominators.**

6 × 11

= ——————

7 × 13

**Partial multiplications**

11

__× 6__

66

13

__× 7__

91

66

= ——

91

**This fraction is proper (numerator smaller than the denominator), so it cannot be converted to a mixed number.**