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Question
Use the distributivity of multiplication of rational numbers over their addition to simplify:
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Solution
Given, `3/5 xx (35/24 + 10/1)`
= `3/5 xx 35/24 + 3/5 xx 10/1` ...[By using distributive property over addition]
= `7/8 + 6/1`
= `(7 + 48)/8`
= `55/8`
RELATED QUESTIONS
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Use the distributivity of multiplication of rational numbers over their addition to simplify:
Use the distributivity of multiplication of rational numbers over their addition to simplify:
Name the property of multiplication of rational numbers illustrated by the following statements:
For all rational numbers a, b and c, a(b + c) = ab + bc.
Verify the property x + y = y + x of rational numbers by taking
`x = 1/2, y = 1/2`
Simplify the following by using suitable property. Also name the property.
`[1/2 xx 1/4] + [1/2 xx 6]`
Verify the property x × (y + z) = x × y + x × z of rational numbers by taking.
`x = (-1)/2, y = 3/4, z = 1/4`
