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the decimal names as a standard decimal number. write each as a fractio…

Question

the decimal names as a standard decimal number.
write each as a fraction or mixed number.

decimal number | fraction or mixed number
--- | ---
|
one and one tenth |
|
two and four tenths |
|
five and nine tenths |
|
eight tenths |
|
two tenths |
|
four and two tenths |
|
five and one tenth |
|
one and seven tenths |
|

  1. six and eight tenths |

|

  1. nine and nine tenths |

|

  1. five tenths |

|

  1. nineteen |

|
fourteen and three tenths |
|
six tenths |
|
twelve and one tenth |
|

Explanation:

Step1: Convert to decimal (two tenths)

The whole number part is 0, tenths place is 2: $0.2$

Step2: Convert to fraction (two tenths)

Write as tenths, simplify: $\frac{2}{10} = \frac{1}{5}$

Step3: Convert to decimal (four and two tenths)

Whole number 4, tenths place 2: $4.2$

Step4: Convert to mixed number (four and two tenths)

Whole number + simplified fraction: $4\frac{2}{10} = 4\frac{1}{5}$

Step5: Convert to decimal (five and one tenth)

Whole number 5, tenths place 1: $5.1$

Step6: Convert to mixed number (five and one tenth)

Whole number + fraction: $5\frac{1}{10}$

Step7: Convert to decimal (one and seven tenths)

Whole number 1, tenths place 7: $1.7$

Step8: Convert to mixed number (one and seven tenths)

Whole number + fraction: $1\frac{7}{10}$

Step9: Convert to decimal (six and eight tenths)

Whole number 6, tenths place 8: $6.8$

Step10: Convert to mixed number (six and eight tenths)

Whole number + simplified fraction: $6\frac{8}{10} = 6\frac{4}{5}$

Step11: Convert to decimal (nine and nine tenths)

Whole number 9, tenths place 9: $9.9$

Step12: Convert to mixed number (nine and nine tenths)

Whole number + fraction: $9\frac{9}{10}$

Step13: Convert to decimal (five tenths)

Whole number 0, tenths place 5: $0.5$

Step14: Convert to fraction (five tenths)

Write as tenths, simplify: $\frac{5}{10} = \frac{1}{2}$

Step15: Convert to decimal (nineteen)

Whole number, no tenths: $19.0$

Step16: Convert to mixed number (nineteen)

Whole number as mixed number: $19\frac{0}{10} = 19$

Step17: Convert to decimal (fourteen and three tenths)

Whole number 14, tenths place 3: $14.3$

Step18: Convert to mixed number (fourteen and three tenths)

Whole number + fraction: $14\frac{3}{10}$

Step19: Convert to decimal (six tenths)

Whole number 0, tenths place 6: $0.6$

Step20: Convert to fraction (six tenths)

Write as tenths, simplify: $\frac{6}{10} = \frac{3}{5}$

Step21: Convert to decimal (twelve and one tenth)

Whole number 12, tenths place 1: $12.1$

Step22: Convert to mixed number (twelve and one tenth)

Whole number + fraction: $12\frac{1}{10}$

Answer:

PhraseDecimal NumberFraction or Mixed Number
four and two tenths$4.2$$4\frac{1}{5}$
five and one tenth$5.1$$5\frac{1}{10}$
one and seven tenths$1.7$$1\frac{7}{10}$
six and eight tenths$6.8$$6\frac{4}{5}$
nine and nine tenths$9.9$$9\frac{9}{10}$
five tenths$0.5$$\frac{1}{2}$
nineteen$19.0$$19$
fourteen and three tenths$14.3$$14\frac{3}{10}$
six tenths$0.6$$\frac{3}{5}$
twelve and one tenth$12.1$$12\frac{1}{10}$