[url=https://docs.google.com/forms/d/e/1FAIpQLScm8hUQ3-g0ANg4PWXCOzOAnAQVaCdg723MnzZjpPAQJ84_xg/viewform]https://docs.google.com/forms/d/e/1FAIpQLScm8hUQ3-g0ANg4PWXCOzOAnAQVaCdg723MnzZjpPAQJ84_xg/viewform[/url]

[justify]Na matemática, a razão estabelece uma comparação entre duas grandezas, sendo o coeficiente entre dois números.[br]Note que a razão está relacionada com a operação da divisão.[br][br][b]Atenção![/b][br]Para você encontrar a razão entre duas grandezas, as unidades de medidas terão de ser as mesmas.[/justify]

A partir das grandezas [i]A[/i] e [i]B [/i]temos que a razão é: [br][br][img width=24,height=59]https://static.todamateria.com.br/upload/58/6e/586e7cfe9abc8-razao-e-proporcao.jpg[/img][br]ou A : B, onde b≠0[br](A está para B)[br][br]Exemplo[br]Qual a razão entre 40 e 20?[br][br][img width=55,height=35]data:image/png;base64,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[/img]

[justify][b]Proporção[/b] é uma igualdade entre razões. Duas razões são proporcionais quando o resultado da divisão entre o numerador e o denominador da primeira razão é igual ao resultado da divisão da segunda.[br][br][img width=83,height=44]data:image/png;base64,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[/img][br][br]Onde a, b, c e d são números diferentes de zero e, nesta ordem, formam uma proporção.Lemos uma proporção das seguintes maneiras:[br][/justify][list][*]a está para b na mesma razão que c está para d;[/*][*]a está para b assim como c está para d;[/*][*]a e b são proporcionais a c e d.[/*][/list][br]Na proporção:[br][img width=79,height=42]data:image/png;base64,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[/img][br][img width=337,height=15]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAVEAAAAPCAYAAABdhfxxAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAABdJJREFUeNrtWm9kXUkUH09EVIWIiIi1VKyVD7XEiorql6qKeqpUxMqHKFWxVuVLrYqoWKJWVUW+rFVV6xEVa61+qVoRUaWqoqIeK6pirfA8VRHxuHtO7u820+ncO3PvvJtt353DT3Lnzpxz5szvnTv/hPiEJRBil9AglBxVXSTUCfOEXsIb4aWAEuwSGoRSi3XM8ztedoR7/vhM6S7EV4SAsO6oikn1mtBFuAeCnShYOAcIawVPoAMhnYL1FuuY53cy79eLS3khLiCJVjwXnOUC4beCJ9HzSKKeT15yTVyjhDUkL8bDFEtp/iI+IOziy3gqhd0pwgvCHmETCfQGfLhmaH4d9hqhqo/qs1+3CP/Ct180OnoIvxLeoQ5/0Tss3bdta/IzS0wvYQmnyhzesczCXqCxO4vnK4RnsHMthf2oPde7gxj/QxjF+y7EvkZ4S/jxEGOnsmwWtKa2wWkCzcyDPQItg4PbhLY8OQ4fJgmrhJ2Dn1hQVH67csdmLGY1fuTHOao1jVGdx/NRPM9ZBLoT0+YyngcJLy0T6LKUtGVU8fe8gWBMmvaEOjMi1ME/kj4EbkB63wXfJ7F3wn3h2cpNC/dt29r4mTWmz0GoSNiXBaXOktDHkcu3CD8TjmWwvwSicgIeR4y/JGwi1iuEMZR/gdj3HkLsdExbOpiJ6ugWzOfFcdhfjrFbVH67cMd2LFTe59cfGsnjGNFppZzLbliouKn5UvxpcoJ0X4WNN4QzPOsldBJmJJb1J6jgfb7TKX9NNSXpsO/TSh1OKFXLftu0zeKnbUzP4ostYOOxRtcrEFSVKpb6We1XYa9LqbcFEurK+w4hdjq2VUGpvwlj4cxzHwsof50Hx2H7umR7JIXTrcxvV+7YjAXb6D+U/iBZNZSybpT/YGjOGb2OabJc9lYYtgJI9xZsDCrlJZzK7xpsX8RMrGzZVfZnR3ne1kznO9Anky7btln8TBPTR1jOvCB0G/psKre1H7U/EqP3SIK9PGOnY1oJp/J8Ot+pvOtBgqvnwXHY3ob9Yykdb2V+u3DHZixcYpGec0hkj5Sy6GDnG0PzYWXPLcKaweYQ9D/RvDuBd39ZuM9fp1UR1j0as18k723IOofQVtcnk+20bZP8dI3pVcIe4XiMrpWUfbSxH9fepjzP2OnYNoxEqdHNM8P9d4+bzXHoH4L+rLcjWpXfWbljOxbDjrFIxznd3ic9L6C809C8jL2HtLPfKEn/rnk3hXd3LdV1YK9jQiFYBcGLDg3GsZFs8p2T0k8Z+53UVuena0xHsMF+C/1TRe2zXH7XwX5ce5vyPGOnY9s4EpnGr/fL+Zlmcxz6y9D/1GEvotX4nQd3TLry5VzMTJTLdiyc5TtpTzMk0XORjSBMBFzWj1P5Bt5dTqGST9y+k57nNEmFTwGvKPuJDzVLhw3C1wZ7WduqfrrElJeHf2D5w1/LZ5rl/G3C95q2HItLDva5/eWM5XnGTse2O0hkm+HJ/H4ZTQ6COZTXCN3N5rgyE41uBrRlTKStxG8X7tiOhcrvfDlHozuBUZ7AfuR0yovuG8joJWwI86bvSYPNdsJ2zKn8Cv4ftbT/LXyQfwiLIrwbGZ3CTaHOpFSnDRvW5/DMm9DLIjydM0mWtjo/s8a0B6SQdbEv9xU9CyCCKuzrqIP9uPY25c2MXQXLuYRT7vcn4881p+N83ehMHhyX7K/FnMwXld8u3LEdC7VNs/sTbSN8UDImje4I4RT+X7ScEa1iX2YjYYaj2xd9gvuhNbZF6MH/bDvpLlsdnWhg30L9mvRjZraHL1cZga8rG9An4TPXe6WQ0CQ2bU1+ZolpOwigu7lQwVc3kkGQJxAfnl7WRHJ8TWMa1962vFmxs0miNSQymq0H93DA9I7wgDDYhPEwMZ1+hMEi7qTKSbSo/Hbljs1Y6HQ1sz8fJ9GYWn3Ci5dPXyrCftXixYsXL14k4dsjL8XB4YoXL168eEkhvKzt9WHw8n/Jf3EuvI+ctm3EAAADA3RFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaSBtYXRoY29sb3I9IiNGRjAwMDAiIG1hdGh2YXJpYW50PSJib2xkLWl0YWxpYyI+YTwvbWk+PG1vPiYjeEEwOzwvbW8+PG1pPmU8L21pPjxtbz4mI3hBMDs8L21vPjxtaSBtYXRoY29sb3I9IiNGRjAwMDAiIG1hdGh2YXJpYW50PSJib2xkLWl0YWxpYyI+ZDwvbWk+PG1vPiYjeEEwOzwvbW8+PG1pPnM8L21pPjxtaT4mI3hFMzs8L21pPjxtaT5vPC9taT48bW8+JiN4QTA7PC9tbz48bWk+bzwvbWk+PG1pPnM8L21pPjxtbz4mI3hBMDs8L21vPjxtaT5lPC9taT48bWk+eDwvbWk+PG1pPnQ8L21pPjxtaT5yPC9taT48bWk+ZTwvbWk+PG1pPm08L21pPjxtaT5vPC9taT48bWk+czwvbWk+PG1vPiw8L21vPjxtbz4mI3hBMDs8L21vPjxtaSBtYXRoY29sb3I9IiMwMDAwRkYiIG1hdGh2YXJpYW50PSJib2xkLWl0YWxpYyI+YjwvbWk+PG1vPiYjeEEwOzwvbW8+PG1pPmU8L21pPjxtbyBtYXRoY29sb3I9IiMwMDAwRkYiIG1hdGh2YXJpYW50PSJib2xkIj4mI3hBMDs8L21vPjxtaSBtYXRoY29sb3I9IiMwMDAwRkYiIG1hdGh2YXJpYW50PSJib2xkLWl0YWxpYyI+YzwvbWk+PG1vPiYjeEEwOzwvbW8+PG1pPnM8L21pPjxtaT4mI3hFMzs8L21pPjxtaT5vPC9taT48bW8+JiN4QTA7PC9tbz48bWk+bzwvbWk+PG1pPnM8L21pPjxtbz4mI3hBMDs8L21vPjxtaT5tPC9taT48bWk+ZTwvbWk+PG1pPmk8L21pPjxtaT5vPC9taT48bWk+czwvbWk+PG1vPi48L21vPjwvbWF0aD5jo7+CAAAAAElFTkSuQmCC[/img]

[b]Exemplo[/b][br][br][img width=63,height=35]data:image/png;base64,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[/img][br][br]A igualdade é verdadeira, pois [math]\frac{4}{2}[/math] = 2, assim como, [math]\frac{12}{6}[/math] = 2.[br][br][b][br]Propriedade fundamental das proporções[/b][br][br]O produto dos meios é igual ao produto dos extremos.[br]Sendo a seguinte igualdade entre razões, uma proporção,[br][br][img width=79,height=42]data:image/png;base64,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[/img][br][br]Então, é verdade que:[img width=108,height=17]data:image/png;base64,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[/img][br][br]É comum chamar esta propriedade de multiplicação cruzada. [br]Esta propriedade é utilizada no procedimento chamado regra de três.[br][br][b]Exemplo[/b][br][br] [img width=135,height=107]data:image/png;base64,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[/img]

[i]Crie razões para comparar o número de maçãs e laranjas no quadro abaixo.[/i]

[center][color=#1155cc][/color][/center][quote][color=#674ea7]Sendo [/color][math]x[/math][color=#674ea7] e [/color][math]y[/math][color=#674ea7] dois números racionais com [/color][math]y\ne0[/math][color=#674ea7], denomina-se razão entre [/color][math]x[/math][color=#674ea7] e [/color][math]y[/math][color=#674ea7] ou razão de [/color][math]x[/math][color=#674ea7] para [/color][math]y[/math][color=#674ea7] o quociente [/color][math]x\div y[/math][color=#674ea7] ou [/color][math]\frac{x}{y}[/math][color=#674ea7].[/color][/quote]

[i]Agora resolva as questões abaixo para aprofundar os conhecimentos sobre Razão.[/i]

[quote][color=#674ea7]Observe que [/color][math]\frac{25}{15}=\frac{75}{45}[/math][color=#674ea7] (as razões são iguais). Assim, podemos dizer que há uma proporção entre esses dois casos.[br][br]Proporção é uma igualdade entre duas razões.[/color][/quote]

[i]Por fim, vamos pensar um pouco além.[/i]

[url=https://forms.gle/GrkRc9kZrABssnKz9]https://forms.gle/GrkRc9kZrABssnKz9[br][/url]