{"id":2,"date":"2026-07-16T14:50:43","date_gmt":"2026-07-16T14:50:43","guid":{"rendered":"https:\/\/arithmetictomathematics.com\/?page_id=2"},"modified":"2026-07-17T16:24:56","modified_gmt":"2026-07-17T16:24:56","slug":"sample-page","status":"publish","type":"page","link":"https:\/\/arithmetictomathematics.com\/","title":{"rendered":"Home"},"content":{"rendered":"
\n

<\/p>\n

\n

\n ARITHMETIC TO ALGEBRA
\n <\/h1>\n

\n Building the Foundation for Success in Algebra\n <\/p>\n


\n Start Learning
\n <\/a>\n <\/div>\n

<\/p>\n

\n

Welcome<\/h2>\n

\n Arithmetic is the language of algebra.<\/strong>\n <\/p>\n

\n Master the fundamentals, and algebra becomes logical, understandable,
\n and manageable. This course begins where algebra success truly begins:
\n with fractions.\n <\/p>\n<\/p><\/div>\n

<\/p>\n

\n

\n Start Here
\n <\/h2>\n

\n Build each skill in a clear, logical sequence.\n <\/p>\n

\n
\n
\u2795<\/div>\n

Add Fractions<\/h3>\n

Find a common denominator, then add the numerators.<\/p>\n<\/p><\/div>\n

\n
\u2796<\/div>\n

Subtract Fractions<\/h3>\n

Use a common denominator and subtract carefully.<\/p>\n<\/p><\/div>\n

\n
\u2716<\/div>\n

Multiply Fractions<\/h3>\n

Multiply straight across and simplify the result.<\/p>\n<\/p><\/div>\n

\n
\u2797<\/div>\n

Divide Fractions<\/h3>\n

Multiply by the reciprocal: keep, change, flip.<\/p>\n<\/p><\/div>\n<\/p><\/div>\n<\/p><\/div>\n

<\/p>\n

\n

\nThe Four Fraction Operations
\n<\/h2>\n

\nFirst do the operation with numbers. Then write the same rule with letters. That is the bridge from arithmetic to algebra.\n<\/p>\n

<\/p>\n

\n

\n\u2795 Add Fractions
\n<\/h3>\n

\nFind a common denominator, add the numerators, and keep the common denominator.\n<\/p>\n

\nArithmetic<\/strong>
\n2\/3 + 3\/4
\n= (4 \u00d7 2)\/(3 \u00d7 4) + (3 \u00d7 3)\/(3 \u00d7 4)
\n= (8 + 9)\/12
\n= 17\/12\n<\/div>\n
\nAlgebra<\/strong>
\na\/b + c\/d = (ad + bc)\/bd\n<\/div>\n<\/div>\n

<\/p>\n

\n

\n\u2796 Subtract Fractions
\n<\/h3>\n

\nFind a common denominator, subtract the numerators, and keep the common denominator.\n<\/p>\n

\nArithmetic<\/strong>
\n2\/3 \u2212 3\/4
\n= (4 \u00d7 2)\/(3 \u00d7 4) \u2212 (3 \u00d7 3)\/(3 \u00d7 4)
\n= (8 \u2212 9)\/12
\n= \u22121\/12\n<\/div>\n
\nAlgebra<\/strong>
\na\/b \u2212 c\/d = (ad \u2212 bc)\/bd\n<\/div>\n<\/div>\n

<\/p>\n

\n

\n\u2716 Multiply Fractions
\n<\/h3>\n

\nMultiply the numerators, multiply the denominators, and simplify.\n<\/p>\n

\nArithmetic<\/strong>
\n2\/3 \u00d7 3\/4
\n= (2 \u00d7 3)\/(3 \u00d7 4)
\n= 6\/12
\n= 1\/2\n<\/div>\n
\nAlgebra<\/strong>
\na\/b \u00d7 c\/d = ac\/bd\n<\/div>\n<\/div>\n

<\/p>\n

\n

\n\u2797 Divide Fractions
\n<\/h3>\n

\nKeep the first fraction, change division to multiplication, and multiply by the reciprocal.\n<\/p>\n

\nArithmetic<\/strong>
\n2\/3 \u00f7 3\/4
\n= 2\/3 \u00d7 4\/3
\n= (2 \u00d7 4)\/(3 \u00d7 3)
\n= 8\/9\n<\/div>\n
\nAlgebra<\/strong>
\na\/b \u00f7 c\/d = a\/b \u00d7 d\/c = ad\/bc\n<\/div>\n<\/div>\n
\nAlgebra uses the same arithmetic rules, written in general form.<\/strong>
\nMaster the four fraction operations, and the path to algebra becomes clear.\n<\/div>\n<\/div>\n

\n Algebra simply expresses the same arithmetic rules in general form.
\n Master the four fraction operations with numbers, and the path to
\n algebra becomes clear.\n <\/div>\n<\/p><\/div>\n<\/div>\n

<\/p>\n

\n

<\/p>\n

<\/p>\n

<\/p>\n

\n\ud83d\udcd8 UNIT 1 \u2014 FRACTIONS: The Foundation of Algebra
\n<\/h2>\n

\nEverything in algebra begins here. Students who master fractions usually find algebra much easier.\n<\/p>\n

Topics<\/h3>\n
    \n
  • What is a Fraction?<\/li>\n
  • Equivalent Fractions<\/li>\n
  • Simplifying Fractions<\/li>\n
  • Comparing Fractions<\/li>\n
  • Adding Fractions<\/li>\n
  • Subtracting Fractions<\/li>\n
  • Multiplying Fractions<\/li>\n
  • Dividing Fractions<\/li>\n
  • Mixed Numbers<\/li>\n
  • Improper Fractions<\/li>\n
  • Complex Fractions<\/li>\n<\/ul>\n
    <\/p>\n

    Example<\/b><\/p>\n

    3\/4 + 5\/6<\/p>\n

    Find a common denominator (12).<\/p>\n

    9\/12 + 10\/12 = 19\/12 = 1 7\/12<\/p>\n<\/div>\n

    <\/p>\n

    Why this matters<\/b><\/p>\n

    Fractions become coefficients, slopes, rational expressions,
    \nand equations throughout Algebra I.<\/p>\n<\/div>\n<\/div>\n

    <\/p>\n

    <\/p>\n

    <\/p>\n

    \n

    \n \u201cThe shortest path to algebra success is mastery of fractions.\u201d\n <\/p>\n<\/p><\/div>\n

    <\/p>\n

    \n

    Arithmetic to Algebra<\/strong><\/p>\n


    \n Clear explanations. Worked examples. Serious practice.
    \n <\/span><\/p><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

    ARITHMETIC TO ALGEBRA Building the Foundation for Success in Algebra Start Learning Welcome Arithmetic is the language of algebra. Master the fundamentals, and algebra becomes logical, understandable, and manageable. This course begins where algebra success truly begins: with fractions. Start Here Build each skill in a clear, logical sequence. \u2795 Add Fractions Find a common […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-2","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/arithmetictomathematics.com\/index.php?rest_route=\/wp\/v2\/pages\/2","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/arithmetictomathematics.com\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/arithmetictomathematics.com\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/arithmetictomathematics.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/arithmetictomathematics.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2"}],"version-history":[{"count":5,"href":"https:\/\/arithmetictomathematics.com\/index.php?rest_route=\/wp\/v2\/pages\/2\/revisions"}],"predecessor-version":[{"id":26,"href":"https:\/\/arithmetictomathematics.com\/index.php?rest_route=\/wp\/v2\/pages\/2\/revisions\/26"}],"wp:attachment":[{"href":"https:\/\/arithmetictomathematics.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}