Math Problem Statement

3) 4 - 8/5 + 4/5, 4) 5 - 4 + 4/3 + 2, 5) 42 ÷ 7 + 1/5, 6) 2 - 2/9 × 7, 7) 4 + 2/3 - 3 + 1/2, 8) 6 ÷ 3/5 - 2/5 × 4, 9) 3 + 4 ÷ 1/8, 10) 8 × 3 - 7/2

Solution

Let's break down the problems step by step from the image you uploaded:

Problem 3:

485+454 - \frac{8}{5} + \frac{4}{5} To solve:

  • First, subtract 85\frac{8}{5} from 4. Convert 4 to a fraction: 20585=125\frac{20}{5} - \frac{8}{5} = \frac{12}{5}.
  • Now, add 45\frac{4}{5}: 125+45=165\frac{12}{5} + \frac{4}{5} = \frac{16}{5} Thus, the answer is 165\frac{16}{5} or 3153 \frac{1}{5}.

Problem 4:

54+43+25 - 4 + \frac{4}{3} + 2 To solve:

  • First, simplify the integers: 54+2=35 - 4 + 2 = 3.
  • Now, add 43\frac{4}{3} to 3. Convert 3 to a fraction: 93+43=133\frac{9}{3} + \frac{4}{3} = \frac{13}{3}. Thus, the answer is 133\frac{13}{3} or 4134 \frac{1}{3}.

Problem 5:

42÷7+1542 \div 7 + \frac{1}{5} To solve:

  • First, divide 42 by 7: 42÷7=642 \div 7 = 6.
  • Now, add 15\frac{1}{5} to 6: 6+15=305+15=3156 + \frac{1}{5} = \frac{30}{5} + \frac{1}{5} = \frac{31}{5}. Thus, the answer is 315\frac{31}{5} or 6156 \frac{1}{5}.

Problem 6:

229×72 - \frac{2}{9} \times 7 To solve:

  • First, multiply 29\frac{2}{9} by 7: 29×7=149\frac{2}{9} \times 7 = \frac{14}{9}.
  • Now, subtract 149\frac{14}{9} from 2. Convert 2 to a fraction: 189149=49\frac{18}{9} - \frac{14}{9} = \frac{4}{9}. Thus, the answer is 49\frac{4}{9}.

Problem 7:

4+233+124 + \frac{2}{3} - 3 + \frac{1}{2} To solve:

  • First, simplify the integers: 43=14 - 3 = 1.
  • Now, add the fractions: 1+23+12.1 + \frac{2}{3} + \frac{1}{2}. Find a common denominator for 23\frac{2}{3} and 12\frac{1}{2}, which is 6: 23=46,12=36.\frac{2}{3} = \frac{4}{6}, \quad \frac{1}{2} = \frac{3}{6}. Now, add: 46+36=76.\frac{4}{6} + \frac{3}{6} = \frac{7}{6}. Thus, 1+76=1361 + \frac{7}{6} = \frac{13}{6} or 2162 \frac{1}{6}.

Problem 8:

6÷3525×46 \div \frac{3}{5} - \frac{2}{5} \times 4 To solve:

  • First, divide 6 by 35\frac{3}{5}. Dividing by a fraction is equivalent to multiplying by the reciprocal: 6÷35=6×53=303=10.6 \div \frac{3}{5} = 6 \times \frac{5}{3} = \frac{30}{3} = 10.
  • Now, multiply 25×4=85\frac{2}{5} \times 4 = \frac{8}{5}.
  • Finally, subtract: 1085=50585=42510 - \frac{8}{5} = \frac{50}{5} - \frac{8}{5} = \frac{42}{5}. Thus, the answer is 425\frac{42}{5} or 8258 \frac{2}{5}.

Problem 9:

3+4÷183 + 4 \div \frac{1}{8} To solve:

  • First, divide 4 by 18\frac{1}{8}. Dividing by 18\frac{1}{8} is the same as multiplying by 8: 4÷18=4×8=32.4 \div \frac{1}{8} = 4 \times 8 = 32.
  • Now, add: 3+32=353 + 32 = 35. Thus, the answer is 35.

Problem 10:

8×3728 \times 3 - \frac{7}{2} To solve:

  • First, multiply 8 by 3: 8×3=248 \times 3 = 24.
  • Now, subtract 72\frac{7}{2} from 24. Convert 24 to a fraction: 48272=412.\frac{48}{2} - \frac{7}{2} = \frac{41}{2}. Thus, the answer is 412\frac{41}{2} or 201220 \frac{1}{2}.

Would you like any further details on any of these steps?

Here are 5 related questions for practice:

  1. Simplify 753+37 - \frac{5}{3} + 3.
  2. Solve 9÷342×139 \div \frac{3}{4} - 2 \times \frac{1}{3}.
  3. What is 2+56142 + \frac{5}{6} - \frac{1}{4}?
  4. Calculate 6×47+16 \times \frac{4}{7} + 1.
  5. Solve 595+25 - \frac{9}{5} + 2.

Tip: Always convert whole numbers to fractions when adding or subtracting fractions. This makes the process easier!

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Math Problem Analysis

Mathematical Concepts

Fractions
Arithmetic
Multiplication
Division
Addition
Subtraction

Formulas

a ÷ b = a × (1/b)
a - b + c = (a + c) - b
LCM for adding fractions

Theorems

Basic Fraction Arithmetic
Order of Operations (PEMDAS)

Suitable Grade Level

Grades 6-8