(628)-272-0788 info@etutorworld.com
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

Personalized Online Tutoring

eTutorWorld offers affordable one-on-one live tutoring over the web for Grades 2-12, Test Prep help for Standardized tests like SCAT, CogAT, SSAT, SAT, ACT, ISEE and AP. You may schedule online tutoring lessons at your personal scheduled times, all with a Money-Back Guarantee. The first one-on-one online tutoring lesson is always FREE, no purchase obligation, no credit card required.

For answers/solutions to any question or to learn concepts, take a FREE Demo Session.

No credit card required, no obligation to purchase.
Just schedule a FREE Sessions to meet a tutor and get help on any topic you want!

Pricing for Online Tutoring

Tutoring PackageValidityGrade (1-12), College
5 sessions1 Month$139
1 session1 Month$28
10 sessions3 months$269
15 sessions3 months$399
20 sessions4 months$499
50 sessions6 months$1189
100 sessions12 months$2249
10% OFF
Save Big on All Summer Courses and Tutoring Packs
Code : Summer10
10% OFF
Save Big on All Summer Courses and Tutoring Packs
Code : Summer10