Math, asked by Amarsha7871, 2 days ago

Express the following decimals in p/q form 17.1757

Answers

Answered by prodiptoghosh2010
1

Step-by-step explanation:

Answer:

17.1757=17175710000" role="presentation" style="display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 14.4px; text-indent: 0px; text-align: center; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;">17.1757=1717571000017.1757=17175710000

Showing the workRewrite the decimal number as a fraction with 1 in the denominator

17.1757=17.17571" role="presentation" style="display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 14.4px; text-indent: 0px; text-align: center; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;">17.1757=17.1757117.1757=17.17571

Multiply to remove 4 decimal places. Here, you multiply top and bottom by 104 = 10000

17.17571×1000010000=17175710000" role="presentation" style="display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 14.4px; text-indent: 0px; text-align: center; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;">17.17571×1000010000=1717571000017.17571×1000010000=17175710000

Simplify the improper fraction,

=17175710000" role="presentation" style="display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 14.4px; text-indent: 0px; text-align: center; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;">=17175710000=17175710000

In conclusion,

17.1757=17175710000" role="presentation" style="display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 14.4px; text-indent: 0px; text-align: center; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;">17.1757=17175710000

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