Math Problem Statement

Ubahlah pecahan-pecahan biasa di bawah ini menjadi pecahan desimal, sampai dengan tiga angka di belakang koma: (a) 3/8 (b) 7/12 (c) 3/20 (d) -5/8 (e) 11/4 (f) 15/-9

Solution

The task in the image asks to convert the following fractions into decimal form, rounding to three decimal places:

(a) 38\frac{3}{8}

38=0.375\frac{3}{8} = 0.375

(b) 712\frac{7}{12}

7120.583\frac{7}{12} \approx 0.583

(c) 320\frac{3}{20}

320=0.150\frac{3}{20} = 0.150

(d) 58\frac{-5}{8}

58=0.625\frac{-5}{8} = -0.625

(e) 114\frac{11}{4}

114=2.750\frac{11}{4} = 2.750

(f) 159\frac{15}{-9}

1591.667\frac{15}{-9} \approx -1.667

Let me know if you want details or explanations on any of the conversions!

Here are 5 related questions to expand this:

  1. How do you convert a fraction to a decimal without a calculator?
  2. What is the difference between terminating and repeating decimals?
  3. How do you round decimals to a specified number of decimal places?
  4. What happens if both the numerator and denominator of a fraction are negative?
  5. How can you identify if a fraction will have a repeating decimal?

Tip: When dividing fractions, ensure to include the correct sign, especially for negative values.

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Math Problem Analysis

Mathematical Concepts

Fractions
Decimal Conversion
Division

Formulas

Fraction to Decimal: numerator ÷ denominator

Theorems

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Suitable Grade Level

Grades 6-8