document.write( "Question 16018: PLEASE HELP ME W/ THIS PROBLEM. THANK YOU.
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document.write( "REDUCE 45/75 TO LOWEST TERMS. \n" );
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Algebra.Com's Answer #7864 by AnlytcPhil(1806)![]() ![]() You can put this solution on YOUR website! \"PLEASE HELP ME W/ THIS PROBLEM. THANK YOU. \n" ); document.write( "REDUCE 45/75 TO LOWEST TERMS. \n" ); document.write( "` \n" ); document.write( "Think of a whole number smaller than the numerator 45 that \n" ); document.write( "will divide evenly into 45. \n" ); document.write( "` \n" ); document.write( "I thought of 5. So write \n" ); document.write( "` \n" ); document.write( "45 = 5×9 \n" ); document.write( "` \n" ); document.write( "There is no integer smaller than 5 that will divide evenly \n" ); document.write( "into 5. So think of a number smaller than 9 that will divide \n" ); document.write( "evenly into 9. \n" ); document.write( "` \n" ); document.write( "I thought of 3. So write \n" ); document.write( "` \n" ); document.write( "45 = 5×9 = 5×3×3 \n" ); document.write( "` \n" ); document.write( "Now there are no whole numbers smaller than 3 that will divide \n" ); document.write( "evenly into 3, so we have prime factored 45 as 5×3×3 \n" ); document.write( "` \n" ); document.write( "Now lets do the same thing with the denominator 75. \n" ); document.write( "` \n" ); document.write( "Think of a whole number smaller than 75 that will divide evenly \n" ); document.write( "into 75. \n" ); document.write( "` \n" ); document.write( "I thought of 5. So write \n" ); document.write( "` \n" ); document.write( "75 = 5×15 \n" ); document.write( "` \n" ); document.write( "There is no integer smaller than 5 that will divide evenly \n" ); document.write( "into 5. So think of a number smaller than 15 that will divide \n" ); document.write( "evenly into 15. \n" ); document.write( "` \n" ); document.write( "I thought of 5. So write \n" ); document.write( "` \n" ); document.write( "75 = 5×5×3 \n" ); document.write( "` \n" ); document.write( "Now there are no whole numbers smaller than 3 that will divide \n" ); document.write( "evenly into 3, so we have prime factored 75 as 5×5×3 \n" ); document.write( "` \n" ); document.write( "So we have \n" ); document.write( "` \n" ); document.write( "`45 ` ` 5×3×3 \n" ); document.write( "---- = -------- \n" ); document.write( "`75 ` ` 5×5×3 \n" ); document.write( "` \n" ); document.write( "Now we cancel the 5's \n" ); document.write( "` \n" ); document.write( "` ` ` ` 1 \n" ); document.write( "`45 ` ` \n" ); document.write( "---- = -------- \n" ); document.write( "`75 ` ` \n" ); document.write( "` ` ` ` 1 \n" ); document.write( "` \n" ); document.write( "That leaves \n" ); document.write( "` \n" ); document.write( "`45 ` ` 3×3 \n" ); document.write( "---- = ----- \n" ); document.write( "`75 ` ` 5×3 \n" ); document.write( "` \n" ); document.write( "Now cancel the 3's \n" ); document.write( "` \n" ); document.write( "` ` ` ` 1 \n" ); document.write( "`45 ` ` \n" ); document.write( "---- = ----- \n" ); document.write( "`75 ` ` 5× \n" ); document.write( "` ` ` ` ` 1 \n" ); document.write( "` \n" ); document.write( "That leaves \n" ); document.write( "` \n" ); document.write( "`45 ` ` 3 \n" ); document.write( "---- = --- \n" ); document.write( "`75 ` ` 5 \n" ); document.write( "` \n" ); document.write( "So that's the answer, 3/5. \n" ); document.write( "` \n" ); document.write( "Edwin \n" ); document.write( " |