Question

GIVING BREAINLIEST

Evaluate.
(2.5−2/3)⋅(−4.2+5 2/5)

Enter your answer as a decimal or mixed number in simplest form in the box.

Answer 1

Answer: 11/5

Explanation:

`\left(2.5-(2)/(3)\right)\left(-4.2+5(2)/(5)\right)`

Convert everything to a fraction or improper fraction:

`=\left((5)/(2)-(2)/(3)\right)\left((21)/(5)+(27)/(5)\right)`

= (11/6)(6/5)

= (11)(1/5) - Reduced with GCF of 6

= 11/5 or 2.2

Answer 2

2 1/5 or 2.2

Explanation:

(2.5−2/3)⋅(−4.2+5 2/5)

Convert decimals to fractions: (5/2 - 2/3) ⋅ (-21/5 + 5 2/5)

Convert mixed to improper fractions: (5/2 - 2/3) ⋅ (-21/5 + 27/5)

Make denominator the same in parentheses:

(15/6 - 4/6) ⋅ (-21/5 + 27/5)

Combine like terms: (11/6) ⋅ (6/5)

Multiply: (11 x 6) / (6 x 5) = 66/30

Divide numerator and denominator by HCF (6): 11/5

Write as mixed number: 2 1/5

or decimal: 2.2