Question
Simplify the expression
495h2410−8019h
Evaluate
1446÷11÷27h−2025÷5÷25
Rewrite the expression
111446÷27h−2025÷5÷25
Divide the terms
More Steps

Evaluate
111446÷27h
Multiply by the reciprocal
111446×27h1
Cancel out the common factor 3
11482×9h1
Multiply the terms
11×9h482
Multiply the terms
99h482
99h482−2025÷5÷25
Divide the numbers
99h482−405÷25
Divide the numbers
99h482−16.2
Convert the decimal into a fraction
More Steps

Evaluate
16.2
Convert the decimal into a fraction
10162
Reduce the fraction
581
99h482−581
Reduce fractions to a common denominator
99h×5482×5−5×99h81×99h
Multiply the numbers
495h482×5−5×99h81×99h
Multiply the numbers
495h482×5−495h81×99h
Write all numerators above the common denominator
495h482×5−81×99h
Multiply the numbers
495h2410−81×99h
Solution
495h2410−8019h
Show Solution

Find the excluded values
h=0
Evaluate
1446÷11÷27h−2025÷5÷25
To find the excluded values,set the denominators equal to 0
27h=0
Solution
h=0
Show Solution

Find the roots
h=80192410
Alternative Form
h≈0.300536
Evaluate
1446÷11÷27h−2025÷5÷25
To find the roots of the expression,set the expression equal to 0
1446÷11÷27h−2025÷5÷25=0
Find the domain
1446÷11÷27h−2025÷5÷25=0,h=0
Calculate
1446÷11÷27h−2025÷5÷25=0
Rewrite the expression
111446÷27h−2025÷5÷25=0
Divide the numbers
111446÷27h−405÷25=0
Divide the terms
More Steps

Evaluate
111446÷27h
Multiply by the reciprocal
111446×27h1
Cancel out the common factor 3
11482×9h1
Multiply the terms
11×9h482
Multiply the terms
99h482
99h482−405÷25=0
Divide the numbers
99h482−16.2=0
Subtract the terms
More Steps

Simplify
99h482−16.2
Convert the decimal into a fraction
More Steps

Evaluate
16.2
Convert the decimal into a fraction
10162
Reduce the fraction
581
99h482−581
Reduce fractions to a common denominator
99h×5482×5−5×99h81×99h
Multiply the numbers
495h482×5−5×99h81×99h
Multiply the numbers
495h482×5−495h81×99h
Write all numerators above the common denominator
495h482×5−81×99h
Multiply the numbers
495h2410−81×99h
Multiply the terms
495h2410−8019h
495h2410−8019h=0
Cross multiply
2410−8019h=495h×0
Simplify the equation
2410−8019h=0
Move the constant to the right side
−8019h=0−2410
Removing 0 doesn't change the value,so remove it from the expression
−8019h=−2410
Change the signs on both sides of the equation
8019h=2410
Divide both sides
80198019h=80192410
Divide the numbers
h=80192410
Check if the solution is in the defined range
h=80192410,h=0
Solution
h=80192410
Alternative Form
h≈0.300536
Show Solution
