Math Problem Statement
Solution
Let's solve the questions from the worksheet one by one.
Q1. What should be added to to get 18?
We are looking for a number such that: To solve for , subtract from both sides: First, convert 18 to a fraction with denominator 5: Now subtract: Thus, .
Q2. Milk is sold at rupees per litre. Find the cost of litres of milk.
We are asked to find the total cost for litres of milk when the cost per litre is . The total cost is: Multiply the numerators and the denominators: Simplify: Thus, the cost of litres of milk is ₹107.2.
Q3. By what number should be multiplied to obtain ?
We need to find a number such that: To solve for , divide both sides by , which is the same as multiplying by the reciprocal : Thus, the number is .
Q4. List five rational numbers between and .
Convert both numbers to a common denominator for easy comparison. The LCM of 5 and 3 is 15.
We now look for five rational numbers between and . Some possible choices are: This list includes numbers between and ( -\frac111--- not
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Math Problem Analysis
Mathematical Concepts
Fraction Operations
Multiplication of Fractions
Finding Rational Numbers
Simplification of Expressions
Formulas
Addition of Fractions: a/b + c/d = (ad + bc) / bd
Multiplication of Fractions: a/b × c/d = ac/bd
Simplification of Expressions
Theorems
Arithmetic operations with fractions
Number Line Rational Number Comparison
Suitable Grade Level
Grade 7
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