We’ll talk about find out how to specific decimal as fraction.

0.5 = (frac{5}{10})

0.05 = (frac{5}{100})

0.005 = (frac{5}{1000})

2.5 = (frac{25}{10})

2.25 = (frac{225}{100})

2.275 = (frac{2275}{1000})

**To transform a decimal right into a fraction, bear in mind the next
steps.**

**Step I:** Write the quantity because the numerator omitting the decimal

level.

**Step II:** Write 1 within the denominator and add zeroes to it equal to the

variety of decimal locations.

**Notice:** When a decimal is learn, every digit of the decimal half

is learn individually.

Allow us to think about a few of the following examples on expressing a decimal as a fraction.

**1.** Convert 2.12 right into a fraction.

**Resolution:**

2.12 = 2 + 1 tenth + 2 hundredths = 2 + (frac{1}{10}) + (frac{2}{100}) = = 2 + (frac{10}{100}) = 2 + (frac{10 = 2 + (frac{12}{100}) = 2 + (frac{3}{25}) = 2(frac{3}{25}) |
We write the |

**2.** Convert 5.125 right into a fraction.

**Resolution:**

5.125 = 5 + 1 tenth + 2 hundredths + 5 thousandths = 5 + (frac{1}{10}) = 5 + (frac{1 = 5 + (frac{1 × 100}{10 × 100}) + (frac{2 × 10}{100 × = 5 + (frac{100}{1000}) + (frac{20}{1000}) + (frac{5}{1000}) = 5 + (frac{100 + 20 + 5}{1000}) = 5 + (frac{125}{1000}) = 5 + (frac{1}{8}) = 5(frac{1}{8}) |
We write the |

**Specific the next decimals in expanded type:**

3.62 = 3 × 1 + (frac{6}{10}) + (frac{2}{10})

75.86 = 7 × 10 + 5 × 1 + (frac{8}{10}) + (frac{6}{10})

216.894 = 2 × 100 + 1 × 10 + 6 × 1 + (frac{8}{10}) + (frac{9}{100})

+ (frac{4}{1000})

0.562 = (frac{5}{10}) + (frac{6}{100}) + (frac{2}{1000})

**Specific the next as decimal numbers:**

**For examples:**

(frac{6}{10}) + (frac{3}{100}) = 0.63

(frac{6}{10}) + (frac{3}{100}) + (frac{5}{1000}) = 0.635

4 × 1 + (frac{3}{10}) + (frac{2}{100}) = 4.32

7 × 10 + 2 × 1 + (frac{8}{10}) + (frac{9}{100}) = 72.89

**Convert the next decimals to fractions of their lowest
phrases.**

**For examples:**

0.36 = (frac{36}{100}) = (frac{9}{25}) [(frac{36 ÷

4}{100 ÷ 4}) = (frac{9}{25})]

5.65 = 5 + 0.65 = 5 + (frac{65}{100}) = 5(frac{65}{100})

= 5(frac{13}{20})]

14.05 = 14 + 0.05 = 14 + (frac{5}{100}) = 14(frac{5}{100})

= 14(frac{1}{20})]

3.004 = 3 + 0.004 = 3 + (frac{4}{1000}) = 3(frac{4}{1000})

= 3(frac{1}{250})]

**Notice:** We at all times cut back the fraction transformed from a decimal

to its lowest type.

**Questions and Solutions on Conversion of a Decimals to a Fractions:**

**I. Convert the next decimals as fractions or combined numerals:**

(i) 0.6

(ii) 0.09

(iii) 3.65

(iv) 12.132

(v) 16.5

(vi) 5.46

(vii) 12.29

(viii) 0.008

(ix) 8.08

(x) 162.434

**II. Specific the next within the expanded type.**

(i) 46.25

(ii) 115.32

(iii) 14.568

(iv) 19.005

(v) 77.777

**III. Write as decimals:**

(i) 2 × 1 + (frac{7}{10}) + (frac{4}{100})

(ii) 3 × 10 + 5 × 1 + (frac{8}{10}) + (frac{3}{1000})

(iii) 7 × 100 + 4 × 10 + 5 × 1 + (frac{4}{1000})

(iv) 9 × 100 + (frac{7}{10})

(v) (frac{5}{100}) + (frac{8}{1000})

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