Math Problem Statement

ll. solve the following with solution

ll. solve the following with solution

Solution

I can help solve these problems. Let's tackle them step by step based on the uploaded image. I'll provide solutions for Section II: Solve the following.


Solutions for Section II: Solve the following

1. 2516\frac{2}{5} - \frac{1}{6}

Find the least common denominator (LCD) of 5 and 6, which is 30. Rewrite fractions: 25=1230,16=530\frac{2}{5} = \frac{12}{30}, \quad \frac{1}{6} = \frac{5}{30} Subtract: 1230530=730\frac{12}{30} - \frac{5}{30} = \frac{7}{30} Answer: 730\frac{7}{30}


2. 34-3 - 4

Subtract: 34=7-3 - 4 = -7 Answer: 7-7


3. 5+235 + \frac{2}{3}

Convert to an improper fraction: 5=1535 = \frac{15}{3} Add: 153+23=173\frac{15}{3} + \frac{2}{3} = \frac{17}{3} Answer: 173\frac{17}{3} (or 5235 \frac{2}{3} in mixed form)


4. 161716 - 17

Subtract: 1617=116 - 17 = -1 Answer: 1-1


5. 19(20)-19 - (-20)

Subtracting a negative is equivalent to addition: 19(20)=19+20=1-19 - (-20) = -19 + 20 = 1 Answer: 11


Would you like detailed explanations for any of these? Let me know!

Here are 5 related questions to deepen your understanding:

  1. Solve 3427\frac{3}{4} - \frac{2}{7}.
  2. Simplify 68-6 - 8.
  3. Add 3+563 + \frac{5}{6}.
  4. Evaluate 12(15)12 - (-15).
  5. Solve 3(4)-3 - (-4).

Tip: For fractions, always find the least common denominator before performing operations!

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Math Problem Analysis

Mathematical Concepts

Fractions
Subtraction
Addition
Negative Numbers

Formulas

Fraction subtraction: a/b - c/d = (ad - bc) / bd
Addition and subtraction of integers

Theorems

Properties of fractions
Rules for subtracting negative numbers

Suitable Grade Level

Grades 6-8