Answer: 16/25
<h2>Solution with Steps</h2>
4/10 divided by 5/8 = ?
Dividing two fractions is the same as multiplying the first fraction by the reciprocal or inverse of the second fraction.
Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes -
4/10 x 8/5 = ?
For fraction multiplication, multiply the numerators and then multiply the denominators to get -
Numerators: 4 x 8 = 32
Denominators: 10 x 5 = 50
Fraction: 32/50
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 32 and 50. The GCF (Greatest Common Factor) would be 2.
Numerator: 32 / 2 = 16
Denominator: 50 / 2 = 25
Fraction: 16/25
<h2>Another Solution</h2>
4/10 divided by 5/8 = ?
Cross multiply -
Numerator x Denominator: 4 x 8 = 32
Denominator x Numerator: 10 x 5 = 50
Fraction: 32/50
Reduce by dividing both the numerator and denominator by the Greatest Common Factor, which is 2.
Numerator: 32 / 2 = 16
Denominator: 50 / 2 = 25
Fraction: 16/25
Answer: it will take them 2.22 hours working together.
Step-by-step explanation:
It takes Destiny y 4 hours to file all the daily paperwork. This means that unit rate of Destiny would be
1/4 per hour.
It takes Susan 5 hours to file the same paperwork. This means that unit rate of Susan would be
1/5 per hour.
If they work together, they would work at their own individual rates. This means that their individual rates are additive.
Let t represent the time it will take them if they worked together. Since their combined rate is additive Therefore,
1/4 + 1/5 = 1/t
9/20 = 1/t
t = 20/9 = 2.22 hours
