Simplify this:-2/3×-5/7+7/3+2/3×(-2/7)
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Step-by-step explanation:
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Answer:
y=55/21 or 2 13/21
PREMISES
-2/3×(-5/7)+7/3+2/3×(-2/7)=y
CALCULATIONS
y=[(-2/3)(-5/7)]+7/3+[(2/3)(-2/7)]
y=(-2×-5)/(3×7)+7/3+(2×-2)/(3×7)
y=10/21+7/3+-4/21 (Convert all fractions to the LCD=21 to simplify the math)
y=(10/21+49/21)+-4/21
y=(10+49)/21+-4/21
y=59/21+-4/21
y=(59–4)/21
y=55/21
y=
55/21 or 2 13/21 as a mixed fraction
PROOF
If y=55/21, then the equations
y=59/21–4/21
55/21=59/21–4/21
55/21=(59–4)/21 and
55/21=55/21 establish that y=55/21 is a solution to the equation (-2/3)(-5/7)+7/3+(2/3)(-2/7)=y
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