Select Page

Rate Problems with Fractions

Home | Online Math Tutoring | 7th Grade Math Tutoring | Rate Problems with Fractions

A rate is a ratio where we compare two different quantities, which are measured in different units.

Here we are going to discuss how we compare two fractions. We solve rate problems by equating two ratios and then solving them for the unknown variable. See the example below.

Example: Donna stitches \frac{5}{6} of a cushion cover in  \frac{3}{4} hour. If she stitches at the same speed, how many cushion covers would she be able to stitch in 4 hours?

Let us assume that Donna can stitch x cushion covers in 4 hours.

Then\frac{3}{4}:4=\frac{5}{6}:X

\frac{3}{4}\div4=\frac{5}{6}\divX

\frac{3}{4}\times\frac{1}{4}=\frac{5}{6}\times\frac{1}{X}=>\frac{3}{16}=\frac{5}{6X}

X=\frac{5\times16}{3\times6}=\frac{80}{18}=\frac{40}{9}

Example: If Joshua ate \frac{5}{2}   sandwiches in \frac{34}{5}minutes, then how many sandwiches did he ate per minute?

Let us assume that Joshua ate N sandwiches per minute.

Then \frac{5}{2}  : N = \frac{35}{4}  : 1

\frac{5}{2}÷ N = \frac{35}{4}   ÷ 1 =>\frac{5}{2}   × \frac{1}{N}  = \frac{35}{4}

\frac{1}{N}=\frac{7}{2}  =  N =\frac{2}{7}   sandwich

 

 

Check Point

  1. A chocolate cake recipe needs \frac{1}{4} cup cocoa powder for 1\frac{1}{4}  cup flour. If Nancy uses 3 cups of flour, then how many cups of cocoa powder would she need?
  2. If 5\frac{1}{2} miles of thread is used to stitch 6\frac{3}{4}  boxes of trousers, then how many miles of thread is needed to stitch 9 boxes of such trousers?
  3. If  \frac{3}{4} teaspoon of chocolate syrup is needed to make 1\frac{1}{4} cup of coffee mocha, then how many teaspoons of chocolate syrup would be needed to make  2\frac{1}{2}cups of coffee mocha?
  4. If 3\frac{1}{4} tablespoons of olive oil is needed to make 1\frac{3}{4}  cups of oats, then how many tablespoons of olive oil would be needed to make 3 cups of oats?
  5. Angel jogs 1\frac{3}{4} of a mile in \frac{3}{10}hr.   How much distance would she cover in 1 hour?
Answer key
  1. \frac{3}{5}cup
  2.  \frac{22}{3} = 7\frac{1}{3}  cups
  3.  1\frac{1}{2}teaspoon
  4.  5\frac{4}{7}tablespoons
  5. 5\frac{5}{7}miles

Download/Solve a Worksheet for Rate problems with Fractions

Give Your Child The eTutorWorld Advantage

Research has proven that personal online tutoring not just cements school learning, it helps build student confidence. eTutorWorld provides the best K-12 Online Tutoring Services so you can learn from the comfort and safety of your home at an affordable cost.

Be it an exam, class test or a quiz, eTutorWorld’s Math, Science and English tutors are responsible for your academic progress. Meet your personal coach at your convenient day and time to get help for Grade 3-12 Math, Science and English subjects and AP, SAT, SSAT and SCAT Test Prep help and test practice. All our tutors are graduates and bring with them years of teaching experience to the tutoring lessons.

Our ‘Learning by Design’ methodology makes sure that each student is at the center of the teaching-learning process. All tutoring sessions start with a question to the student ‘What do you want to learn today?’ Hence, tutors diagnose your skills and recognize your requirements before the actual tutoring happens. Post every tutoring session, an individualized worksheet is emailed to the student to assimilate learned concepts. Regular formative assessments are used to evaluate a student’s understanding of the subject.

The state of the art technology used is stable, user friendly and safe. All you need is a computer or a tablet and an internet connection. The easy-to-use web conferencing software requires a one time download, using which the student can talk and chat to the tutor, annotate on an interactive shared whiteboard or even share documents, assignments or worksheets.

All tutoring sessions are recorded and made available for a month so you can review concepts taught.

Email or call our support team with any issues or questions – we are here for you 24X7.

Also, download free printable math and science worksheets in pdf format and solve SCAT and SSAT Practice Tests online. Sign up for a Free Trial Lesson Today!

Thousands have taken the eTutorWorld Advantage – what are you waiting for?

© 2019 eTutorWorld - Online Tutoring and Test Prep | All rights reserved