MYTUTOR SUBJECT ANSWERS

188 views

Express 0.545454... as a fraction in its simplest form.

First, we are going to give our decimal a name, let's call it x. We notice that x repeats after two digits, so how about we look at 100x.

100x = 54.54545454...

But, the decimal part of this number is what we called x, so let's subtract it.

100x - x = 54.5454545454... - 0.54545454

Working out both sides, we get

99x = 54

So, x = 54/99. However, we are not finished as the question said "in its simplest form". Either notice that 99 and 54 are both divisible by 9, or that they're divisible by 3 twice and we get the final answer.

x = 6/11

Felix S. IB Maths tutor, 11 Plus Maths tutor, GCSE Maths tutor, 13 pl...

5 months ago

Answered by Felix, a GCSE Maths tutor with MyTutor

Still stuck? Get one-to-one help from a personally interviewed subject specialist

327 SUBJECT SPECIALISTS

£18 /hr

Sabrina A.

Degree: Medicine (Bachelors) - Nottingham University

Subjects offered: Maths, Chemistry+ 2 more

Maths
Chemistry
Biology
-Medical School Preparation-

“About me: I am currently a final year medical student at the University of Nottingham. My curiosity for science and love of learning is what initially lead me towards medicine and it's something I hope to enthuse in all my tutees what...”

MyTutor guarantee

£18 /hr

Mrinank S.

Degree: Engineering (Masters) - Cambridge University

Subjects offered: Maths, Physics+ 4 more

Maths
Physics
Further Mathematics
Economics
Chemistry
-Oxbridge Preparation-

“Hey there! I'm a second year undergraduate student at the University of Cambridge, studying Engineering. I am really passionate about using science and maths to make the world around us a better place.  I am a patient and friendly tu...”

£18 /hr

Liam P.

Degree: Biological Sciences with integrated masters (Masters) - Durham University

Subjects offered: Maths, Biology

Maths
Biology

“A little bit about me I am currently studying for my masters in Biology at the University of Durham. In the coming year I will be working on modelling the effect of climate change on migratory birds. I found studying bird migration fa...”

MyTutor guarantee

About the author

Felix S.

Currently unavailable: for new students

Degree: Mathematics (Masters) - Warwick University

Subjects offered: Maths, Further Mathematics

Maths
Further Mathematics

“About me: Hi, I'm Felix and I'm currently studying for a Mathematics degree at Warwick University. I am very keen to show people not just how to pass maths exams, but how to actuallyenjoy the subject too! I got A* in GCSE Maths and th...”

You may also like...

Posts by Felix

Express 0.545454... as a fraction in its simplest form.

Given a^2 < 4 and a+2b = 8. Work out the range of possible values of b. Give your answer as an inequality.

Prove that the function f:ZxZ -> ZxZ defined by f(x,y) = (2x+y,x+y) is a bijetion.

Sunita has 75 pens and she ties them into bundles of 8. How many pens does she have left over?

Other GCSE Maths questions

Find the mean, median, mode and range of this data: 2, 5,6,12,5

Solve the quadratic equation 3x^2 + x – 5 = 0 give answers to 3 decimal places

a) You area told that y is proportional to x2 and that when y = 75, x = 5. Find a formula for y in terms of x. y = x b) Find the value of y when x = 3. c) Find the value of x when y = 1200.

Solve the simultaneous equations '2X+Y=7' and '3X-Y=8'

View GCSE Maths tutors

Cookies:

We use cookies to improve our service. By continuing to use this website, we'll assume that you're OK with this. Dismiss

mtw:mercury1:status:ok