Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Mr. and Mrs. Ryan are working together to wash all the windows in their house. The following equation can be used to find hh, the number of hours it will take them to finish the job.\newlineh6+h3=1\frac{h}{6} + \frac{h}{3} = 1\newlineHow long will it take Mr. and Mrs. Ryan to wash all the windows?\newlineWrite your answer as a whole number or as a fraction or mixed number in lowest terms.\newline____ hours\newline

Full solution

Q. Mr. and Mrs. Ryan are working together to wash all the windows in their house. The following equation can be used to find hh, the number of hours it will take them to finish the job.\newlineh6+h3=1\frac{h}{6} + \frac{h}{3} = 1\newlineHow long will it take Mr. and Mrs. Ryan to wash all the windows?\newlineWrite your answer as a whole number or as a fraction or mixed number in lowest terms.\newline____ hours\newline
  1. Understand and Simplify Equation: Step 11: Understand the equation and simplify it.\newlineThe equation given is h6+h3=1\frac{h}{6} + \frac{h}{3} = 1. We need to find a common denominator to combine the terms.\newlineLCM of 66 and 33 is 66, so rewrite h3\frac{h}{3} as 2h6\frac{2h}{6}.\newlineNow the equation is h6+2h6=1\frac{h}{6} + \frac{2h}{6} = 1.\newlineCombine the terms: h+2h6=1\frac{h + 2h}{6} = 1.\newlineSimplify: 3h6=1\frac{3h}{6} = 1.\newlineFurther simplify: h2=1\frac{h}{2} = 1.
  2. Solve for h: Step 22: Solve for h.\newlineMultiply both sides of the equation by 22 to isolate hh.\newlineh=1×2h = 1 \times 2.\newlineh=2h = 2.

More problems from Add, subtract, multiply, or divide two fractions: word problems

QuestionGet tutor helpright-arrow

Posted 8 months ago