Fractions To Decimals

Grade 7 Math Worksheets

Fractions whose denominator is 10 or power of 10 can be converted to decimals by the following steps.

Step 1: Check if the denominator is 10 or power of 10. If it is not a power of 10, then multiply the denominator with a number so that the denominator can be a power of 10.

Step 2: Multiply the numerator and denominator by the same number.

Like, multiply $\frac{1}{4}$ by 25 in the numerator and denominator.

$\frac{1}{4}$ = $\frac{1\times25}{4\times25}=\frac{25}{100}$

Download Worksheet - Fractions to Decimals

Schedule a Free session to clear worksheet doubts

Schedule a Free 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!

Step 3: Write the number in the numerator and put the decimal point according to the number of zeroes in the denominator. For every zero put decimal one space from the right hand side.

So, = 0.25

The fractions $\frac{3}{10}$ , $\frac{8}{100}$ , $\frac{16}{40000}$ are written as 0.3, 0.08, 0.0016 respectively in decimal notation.

When there is no way in which we can make the denominator a power of 10, as in the example below.

Example: Convert $\frac{4}{9}$ to decimal to two decimal places.

Here we can calculate an approximate decimal.

Multiply the denominator by 11 so that denominator becomes 9 × 11 = 99, which is close to 100.

$\frac{4}{9}$ = $\frac{4\times11}{9\times11}$ = $\frac{44}{99}$

Since 99 is close to 100, so $\frac{44}{99}$ = 0.44 to two decimal places.

Check Point

Convert the given fractions to decimals.

$\frac{3}{5}$
$\frac{387}{400}$
$\frac{107}{200}$
$\frac{1}{2}$
$\frac{29}{33}$ (correct to two decimal places)

Answer key

0.6
0.9675
0.535
0.5
0.87

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.

Schedule a Free 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!

Learn more about Scientific Method and other important topics with 7th Grade Science Tutoring at eTutorWorld. Our expert science tutors break down the topics through interactive one-to-one sessions. We also offer the advantage of customized lesson plans, flexible schedules and convenience of learning from home.

Pricing for Online Tutoring

Tutoring Package	Validity	Grade (1-12), College
5 sessions	1 Month	$124
1 session	1 Month	$25
10 sessions	3 months	$239
15 sessions	3 months	$354
20 sessions	4 months	$449
50 sessions	6 months	$1049
100 sessions	12 months	$2049

Buy Now