Math Problem Statement

Work out the following additions and subtractions. Give your answers as simplified fractions. If necessary, give any answers as mixed numbers.

Solution

I see that you've uploaded a math worksheet with a few fractions and word problems. Let's go through each part step by step:

Question 3: Work out the following additions and subtractions. Give your answers as simplified fractions.

  1. (a) 135+212791 \frac{3}{5} + 2 \frac{1}{2} - \frac{7}{9}
  2. (b) 7910+113137 \frac{9}{10} + 1 \frac{1}{3} - \frac{1}{3}
  3. (c) 33597+583 \frac{3}{5} - \frac{9}{7} + \frac{5}{8}
  4. (d) 5811418\frac{5}{8} - 1 \frac{1}{4} - \frac{1}{8}

Question 1: In a car park, 25\frac{2}{5} of the cars are red, and 35\frac{3}{5} of the cars are blue.

  • What fraction of the cars are red or blue?
    • The sum of the fractions for red and blue cars is:
      25+35=55=1\frac{2}{5} + \frac{3}{5} = \frac{5}{5} = 1, meaning all the cars are either red or blue.

Question 2: Harry spent parts of his pocket money.

  • He spent 15\frac{1}{5} of his pocket money on a ticket for a football match.
  • He also spent 18\frac{1}{8} of his pocket money on a scarf at the match.
    • (a) What fraction of his pocket money has Harry spent?
      • 15+18\frac{1}{5} + \frac{1}{8}
    • (b) What fraction of his pocket money does Harry have left?
      • 1(15+18)1 - \left( \frac{1}{5} + \frac{1}{8} \right)

Question 1: Work out each of the following.

  • (a) 12\frac{1}{2} of 10 = 5
  • (b) 318\frac{3}{18} of 6 = 1
  • (c) 15\frac{1}{5} of 20 = 4
  • (d) 14\frac{1}{4} of 24 = 6

Would you like me to work through any of these steps in detail? Or would you like help with any specific problems? Let me know!

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Math Problem Analysis

Mathematical Concepts

Fractions
Simplification of Fractions
Addition and Subtraction of Fractions
Mixed Numbers

Formulas

Addition and Subtraction of Fractions: a/b + c/d = (ad + bc)/bd

Theorems

Simplification of Fractions
Finding the Least Common Denominator (LCD)

Suitable Grade Level

Grades 6-8