1.

Ir the denominator is namedby 5 and the denominatoriathen the resultingfractionsX + _________Y x _________. = _______​

Answer»

Answer:

Evaluate \dfrac13a-1-\dfrac12b

3

1

a−1−

2

1

bstart fraction, 1, divided by, 3, end fraction, a, minus, 1, minus, start fraction, 1, divided by, 2, end fraction, b when a=12a=12a, equals, 12 and b=6b=6b, equals, 6.

\begin{aligned} &\PHANTOM{=}\dfrac13\blueD a-1-\dfrac12\goldD b \\\\ &= \dfrac13 \cdot \blueD {12}-1-\dfrac12 \cdot \goldD 6~~~~~~~~\text{Replace }\blueD{a} \text{ with } \blueD{12}\text{ and } \goldD b \text{ with } \goldD 6\text{.} \\\\ &=4 - 1 - 3 \\\\ &=0 \end{aligned}

=

3

1

a−1−

2

1

b

=

3

1

⋅12−1−

2

1

⋅6 Replace a with 12 and b with 6.

=4−1−3

=0

Now, LET's practice

PROBLEM 1

Evaluate \dfrac32y-3+\dfrac53z

2

3

y−3+

3

5

zstart fraction, 3, divided by, 2, end fraction, y, minus, 3, plus, start fraction, 5, divided by, 3, end fraction, z when y=4y=4y, equals, 4 and z=3z=3z, equals, 3.


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