4/5 * 1 1/6=?

(4/5) × (1 1/6)
= (4/5) × (7/6)
= (4 × 7) / (5 × 6)
= 28/30
= 14/15

Original expression:
4/5 * 1 1/6

Convert the mixed number to an improper fraction --> 1 1/6 = 7/6
4/5 * 7/6

Multiply across numerators and then denominators:
(4 * 7) / (5 * 6)
= 28/30

Reduce the fraction to lowest terms:
14/15

4/5 x 7/6 = 28/30 = 14/15

(4/5)(1_1/6)

(4/5)(7/6)

28/30

14/15

4/5 * 7/6 = 14/15.

(4/5)(7/6)=28/30
simplify
14/15
Answer: 14/15

4/5 × 1 1/6
= 14/15

Ans. (4/5)(7/6)=14/15

You can either convert the mixed number to an improper fraction, or use the distributive rule.

convert 1⅙ to an improper fraction:
⅘ × 1⅙ = ⅘ × 7/6 = (4×7)/(5×6) = (2×7)/(5×3) = 14/15

distributive rule:
⅘ × 1⅙ = ⅘×1 + ⅘×⅙ = ⅘ + (4×1)/(5×6) = ⅘ + 2/15 = 14/15

The product is 14/15 in its lowest terms