{"id":65862,"date":"2026-09-28T22:45:13","date_gmt":"2026-09-29T02:45:13","guid":{"rendered":"https:\/\/www.wukongsch.com\/blog\/?p=65862"},"modified":"2026-09-28T22:45:13","modified_gmt":"2026-09-29T02:45:13","slug":"fractions-and-decimals-basic","status":"publish","type":"post","link":"https:\/\/www.wukongsch.com\/blog\/fractions-and-decimals-basic-post-65862\/","title":{"rendered":"Fractions, Decimals & Rational Numbers by Grade"},"content":{"rendered":"
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What are fractions<\/strong>, decimals<\/strong>, and rational numbers<\/strong>? Half of a pizza can be written as 1\/2<\/strong>, 0.5<\/strong>, or 50%; <\/strong>the notation changes, but the amount does not. That single idea connects years of school math\u2014from third-grade fractions<\/strong> to eighth-grade rational and irrational numbers<\/strong>. For children, the difficulty is often not arithmetic. It is knowing when each idea is supposed to make sense. A child may know that 1\/2 equals 0.5 but still struggle to explain why.<\/p>\n\n\n\n

Based on official standards, WuKong Education<\/a> has compiled a Grade 3\u20138 Common Core roadmap<\/strong>, step-by-step methods for converting fractions to decimals<\/strong> and decimals to fractions<\/strong>, side-by-side fraction operations, repeating decimals, rational numbers, and grade-based practice.<\/p>\n\n\n\n

If conversions feel confusing, start with place value. \u201cZero point eight\u201d is often a language problem before it is a math problem: 0.8 means eight tenths<\/strong>.<\/p>\n\n\n\n

By <\/strong>WuKong Math<\/a><\/strong><\/p>\n\n\n\n

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Common Core references in this guide are based on the official standards. Verify standards at thecorestandards.org<\/a>.<\/p>\n<\/blockquote>\n\n\n\n

<\/span>Why Fractions, Decimals, and Percents Are the Same Numbers<\/span><\/h2>\n\n\n\n
\"\"<\/figure>\n\n\n\n

Fractions, decimals, and percents are not three unrelated topics.<\/p>\n\n\n\n

They are three ways to describe the same quantity<\/strong>.<\/p>\n\n\n\n

Think about half of a pizza:<\/p>\n\n\n\n

1\/2 = 0.5 = 50%<\/code><\/p>\n\n\n\n

All three expressions locate the same point on a number line.<\/p>\n\n\n\n

You can think of them as three mathematical languages:<\/p>\n\n\n\n

Form<\/td>Example<\/td>What It Tells You<\/td><\/tr>
Fraction<\/td>1\/2<\/td>1 part out of 2 equal parts<\/td><\/tr>
Decimal<\/td>0.5<\/td>5 tenths, or 50 hundredths<\/td><\/tr>
Percent<\/td>50%<\/td>50 out of 100<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

This is why conversion should not be taught as a collection of tricks.<\/p>\n\n\n\n

A child who understands equivalent quantities can reason:<\/p>\n\n\n\n

1\/2 = 5\/10 = 0.5<\/code><\/p>\n\n\n\n

and:<\/p>\n\n\n\n

0.5 = 50\/100 = 50%<\/code><\/p>\n\n\n\n

The notation changes because different forms are useful in different situations.<\/p>\n\n\n\n

You may use:<\/p>\n\n\n\n