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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.

Sagot :

Semsee45idn

Answer:

2 1/5 or 2.2

Step-by-step 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

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Answer: 11/5

Step-by-step explanation:

[tex]\left(2.5-\frac{2}{3}\right)\left(-4.2+5\frac{2}{5}\right)[/tex]

Convert everything to a fraction or improper fraction:

[tex]=\left(\frac{5}{2}-\frac{2}{3}\right)\left(\frac{21}{5}+\frac{27}{5}\right)[/tex]

= (11/6)(6/5)

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

= 11/5 or 2.2

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