document.write( "Question 16018: PLEASE HELP ME W/ THIS PROBLEM. THANK YOU.
\n" ); document.write( "REDUCE 45/75 TO LOWEST TERMS.
\n" ); document.write( "

Algebra.Com's Answer #7864 by AnlytcPhil(1806)\"\" \"About 
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 ` ` 5×3×3
\n" ); document.write( "---- = --------
\n" ); document.write( "`75 ` ` 5×5×3
\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 ` ` 3×3
\n" ); document.write( "---- = -----
\n" ); document.write( "`75 ` ` 5×3
\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( "
\n" );