Question
upstudy study bank question image url

\( \begin{array}{lll}\text { (a) } \frac{1}{5}+\frac{1}{3} \times \frac{1}{2} & \text { (b) } \frac{2}{3}-\frac{1}{3} \div \frac{1}{2} & \text { (c) } \frac{4}{3}+\frac{2}{9}+\frac{3}{4} \\ \text { (d) } \frac{3}{5}-\left(\frac{2}{3}-\frac{1}{3}\right) & \text { (c) } 2 \frac{3}{4}-1 \frac{1}{2} \times 1 \frac{2}{3} & \text { (f) } 2 \frac{1}{4}+13 \frac{1}{2}-2 \\ \text { (8) } 2 \frac{1}{3} \times\left(2 \frac{5}{6}-1 \frac{2}{3}\right) & \text { (h) } \frac{7}{8}+\left(\frac{1}{2}+2 \frac{1}{8}\right) & \text { (i) } \frac{2}{3}+\frac{1}{2} \times\left(\frac{1}{6}-\frac{1}{4}\right)-\frac{1}{8} \\ \text { (i) } 3 \frac{1}{5}+\left(\frac{2}{5}\right)^{2} & \text { (k) } 3 \frac{1}{2} \times 2-\left(\frac{1}{2}\right)^{2} & \text { (l) } \sqrt{1+5 \times\left(-\frac{1}{2}\right)^{2}} \\ \text { (m) } \sqrt[3]{-\frac{27}{8}}+\left(-2-\left(-\frac{1}{2}\right)^{2}\right) & \text { (n) } \frac{3 \frac{1}{4}+\left(1 \frac{1}{2}\right)^{2}}{4 \frac{1}{8}+1 \frac{1}{2}} & \end{array} \)

Ask by Erickson Patel. in South Africa
Mar 13,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The simplified expression for (a) is \( \frac{11}{30} \).

Solution

Sign in to Unlock Answers for Free!

A Learning Platform Trusted by Millions of Real Students and Teachers.

star-icon Unlock

Answered by UpStudy AI and reviewed by a Professional Tutor

Bonus Knowledge

Alright, let’s jump into some math fun! First up, understanding the order of operations is key! Remember the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right). This ensures you're doing calculations in the correct order. For instance, in (a) \(\frac{1}{5}+\frac{1}{3} \times \frac{1}{2}\), you multiply first, then add! And did you know that fractions can represent more than just portions? They pop up in real life more often than you’d think, like when cooking or baking! If a recipe calls for \(\frac{1}{4}\) of a cup of sugar and you want to make half the recipe, you’ll need to find \(\frac{1}{4} \div 2\) (which is \(\frac{1}{8}\) cup). Math really does help with delicious treats!

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy