Select Page

Online Pre-Algebra Tutoring: Decimals and Fractions

Math is an essential skill in our everyday life! And nothing is more important to eTutorWorld than to assert its commitment to math tutoring. Each tutoring session is taught using state-of-the-art technology, a student centric approach, individualized teaching and assessments. Be it Real Numbers or Rational Numbers, Constructions or Measurement, Triangles or Quadrilaterals, Scatter plots or the stem-and-leaf plot students are able to grasp these concepts quickly with the help of a shared whiteboard and audio conferencing during the live tutoring session.

Grab the eTutorWorld advantage and help her to not only master these valuable skills but also have the confidence required to succeed in grade school and beyond. Let your child learn from our highly experienced math tutors for all grades 3 to 12.

Learn  Decimal and fractions  from Certified Online Pre-Algebra Tutor

Decimals and fractions represent the same thing: a number that is not exactly a whole number. Decimals are fractions that have powers of ten as their denominators. Or, to say another way, they have 10, 100, 1000, and so on as the denominator (bottom number) of the fraction.

Rules for converting Decimals to Fractions:

First, convert the terminating decimal to a fraction by counting the number of decimal places and putting the decimal’s digits over 1 followed by the appropriate number of zeroes. If there are two decimal places (number of digits to the right side of the decimal point), put the number over 100 and reduce. If there are three places, put it over 1000 and so on.

Next, simplify the fraction part to the lowest common term.

Let’s understand with an example

Here’s how to convert 0.78 to a fraction…

There is not much that can be done to figure out how to write 0.78 as a fraction, except to literally use what the decimal portion of your number, the .78, means.

Since there are 2 digits after the decimal point in 78, the very last digit is the “100th” decimal place.

So we can just say that .78 is the same as 78/100.

The fraction 78/100 is not reduced to lowest terms. We can reduce this fraction to lowest terms by dividing both the numerator and denominator by 2.

Why divide by 2? 2 is the Greatest Common Divisor (GCD) or Greatest Common Factor (GCF) of the numbers 78 and 100.
So, this fraction reduced to lowest terms is 39/50

So your final answer is: 0.78 can be written as the fraction 39/50

Note : Common fractions are usually written in simplest form /lowest term

Check Point

a) Write 0.75 as a fraction in simplest form.
b) Write 0.543 as a fraction in simplest form.
c) Write 0.986 as a fraction in simplest form.
d) Write 0.754 as a fraction in simplest form.
e) Write 0.248 as a fraction in simplest form.

Answer Key
a) 3/4
b) 543/1000
c) 493/500
d) 377/500
e) 31/125

Why eTutorWorld ?

  • Learn at any time and from anywhere through unique personal lesson plans
  • Experience the extensive use of online resources and state-of-the-art technology
  • Enjoy one-on-one live personalized coaching
  • Navigate your homework with ease and learn advanced topics

Find out how eTutorWorld can help you improve your Grades.

No credit card is required, nor are you under any obligation to make a purchase. Just schedule the FREE TRIAL lesson to meet a tutor & get help on any topic you want!

Our Learning by Design methodology focuses exclusively on the individual student. Our tutors are specially trained to identify and diagnose the needs and interests of each student and plan lessons accordingly.

Find more about our Personalized Online Tutoring  Learning Packages.

Give Your Child The eTutorWorld Advantage

Research has proven that personal online tutoring not just cements school learning, it helps build student confidence. Come to eTutorWorld for Expert Tutors and best K-12 Online Tutoring Services in the comfort and safety of your home at an affordable cost. Find a tutor online for Grade 3-12 Math, Science and English subjects and AP, SAT, SSAT and SCAT Test Prep help and test practice. Get free printable math and science worksheets in pdf format and SCAT Practice Tests. Sign up for a Free Trial Lesson Today!

© 2018 eTutorWorld - Online Tutoring and Test Prep | All rights reserved