{"id":199,"date":"2022-04-12T12:29:57","date_gmt":"2022-04-12T12:29:57","guid":{"rendered":"http:\/\/8thclass.deltapublications.in\/?page_id=199"},"modified":"2025-12-04T11:49:01","modified_gmt":"2025-12-04T11:49:01","slug":"j-2-compare-percents-to-fractions-and-decimals","status":"publish","type":"page","link":"https:\/\/8thclass.deltapublications.in\/index.php\/j-2-compare-percents-to-fractions-and-decimals\/","title":{"rendered":"J.2 Compare percents to fractions and decimals"},"content":{"rendered":"\n

Compare percentages to fractions and decimals<\/strong><\/h2>\n\n\n\n

key notes :<\/strong><\/p>\n\n\n\n

\ud83d\udcaf Percent means \u201cper 100\u201d<\/strong><\/p>\n\n\n\n

Example: 75% = 75 out of 100.<\/p>\n\n\n\n

Can be written as a fraction: 75% = 75\/100 = 3\/4<\/p>\n\n\n\n

Can be written as a decimal: 75% = 0.75<\/p>\n\n\n\n

\ud83d\udd04 Converting Percents to Decimals<\/strong><\/p>\n\n\n\n

Move the decimal point two places to the left<\/strong>.<\/p>\n\n\n\n

Example:<\/p>\n\n\n\n

40% \u2192 0.40<\/p>\n\n\n\n

8% \u2192 0.08<\/p>\n\n\n\n

\u2797 Converting Percents to Fractions<\/strong><\/p>\n\n\n\n

Write percent over 100 and simplify.<\/p>\n\n\n\n

Example:<\/p>\n\n\n\n

60% \u2192 60\/100 = 3\/5<\/p>\n\n\n\n

125% \u2192 125\/100 = 5\/4<\/p>\n\n\n\n

\ud83d\udd22 Converting Decimals to Percents<\/strong><\/p>\n\n\n\n

Multiply by 100 and add % sign.<\/p>\n\n\n\n

Example: 0.85 \u2192 85%<\/p>\n\n\n\n

Example: 0.03 \u2192 3%<\/p>\n\n\n\n

\ud83d\udcca Converting Fractions to Percents<\/strong><\/p>\n\n\n\n

Divide numerator by denominator \u2192 decimal \u2192 multiply by 100.<\/p>\n\n\n\n

Example: 25\\frac{2}{5}52\u200b \u2192 0.4 \u2192 40%<\/p>\n\n\n\n

Example: 78\\frac{7}{8}87\u200b \u2192 0.875 \u2192 87.5%<\/p>\n\n\n\n

\u2696\ufe0f Comparing Percents, Fractions, and Decimals<\/strong><\/p>\n\n\n\n

Convert all numbers to the same form<\/strong> (either fraction, decimal, or percent).<\/p>\n\n\n\n

Then compare easily:<\/p>\n\n\n\n

Example: Compare 3\/4, 0.7, 65%<\/p>\n\n\n\n

3\/4 = 0.75 = 75%<\/p>\n\n\n\n

0.7 = 70%<\/p>\n\n\n\n

65% = 65%
\u2705 Order: 65% < 0.7 < 3\/4<\/p>\n\n\n\n

\ud83d\udca1 Tips<\/strong><\/p>\n\n\n\n

Percent \u2192 Decimal<\/strong>: divide by 100<\/p>\n\n\n\n

Decimal \u2192 Percent<\/strong>: multiply by 100<\/p>\n\n\n\n

Fraction \u2192 Decimal<\/strong>: divide numerator by denominator<\/p>\n\n\n\n

Decimal \u2192 Fraction<\/strong>: write decimal as fraction over 10, 100, etc., and simplify<\/p>\n\n\n\n

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\ud83c\udfa8 Fun Memory Trick:<\/h3>\n\n\n\n