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
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
