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# Math

0
118
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Ralph walks 1 1/4 miles home from school every day. He stops at Joe's house, which is 5/6 of a mile from school. How far is it from Joe's house to Ralph's house?

Oct 4, 2021

#1
+35238
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1  1/4 - 5/6 =   15/12 - 10/12 = 5/12 mile between the houses

Oct 4, 2021
#2
+318
+2

∴  Joe's house is ( $$1{1 \over 4}$$-$${5\over 6}$$) mile far

from Ralph's house

i.e ($$1{1 \over 4}$$-$${5\over 6}$$) = ( $${4 + 1\over 4}$$-$${5\over 6}$$)

= ( $${5\over 4}$$-$${5\over 6}$$)

= ( $${5 * 3 - 5 * 2\over 12}$$)

=  $${15 - 10\over 12}=$$-$${5\over 12}$$
∴  Joe's house is $$({5 \over 12})$$ mile far from

Ralph's house

Oct 4, 2021