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Let’s check out your problem:
1
3
×
22
7
×
49
×
8
\frac{1}{3}\times \frac{22}{7} \times 49 \times 8
3
1
×
7
22
×
49
×
8
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Math Problems
Grade 7
Multiply fractions
Full solution
Q.
1
3
×
22
7
×
49
×
8
\frac{1}{3}\times \frac{22}{7} \times 49 \times 8
3
1
×
7
22
×
49
×
8
Multiply Fractions:
First, let's multiply
1
3
\frac{1}{3}
3
1
by
22
7
\frac{22}{7}
7
22
.
\newline
1
3
×
22
7
=
22
21
\frac{1}{3} \times \frac{22}{7} = \frac{22}{21}
3
1
×
7
22
=
21
22
Multiply by Whole Number:
Now, let's multiply
22
21
\frac{22}{21}
21
22
by
49
49
49
.
\newline
22
21
×
49
=
22
×
49
21
\frac{22}{21} \times 49 = \frac{22 \times 49}{21}
21
22
×
49
=
21
22
×
49
Simplify Common Factors:
Before multiplying, let's simplify
49
49
49
and
21
21
21
since they have a common factor.
\newline
49
÷
7
=
7
49 \div 7 = 7
49
÷
7
=
7
and
21
÷
7
=
3
21 \div 7 = 3
21
÷
7
=
3
\newline
So,
22
×
49
/
21
22 \times 49 / 21
22
×
49/21
becomes
22
×
7
/
3
22 \times 7 / 3
22
×
7/3
Multiply Numbers:
Now, let's multiply
22
×
7
22 \times 7
22
×
7
.
\newline
22
×
7
=
154
22 \times 7 = 154
22
×
7
=
154
Divide by Whole Number:
Finally, let's divide
154
154
154
by
3
3
3
.
\newline
154
÷
3
=
51.333
…
154 \div 3 = 51.333\ldots
154
÷
3
=
51.333
…
Multiply Final Result:
Now, we need to multiply this result by
8
8
8
.
\newline
51.333
…
×
8
=
410.666
…
51.333\ldots \times 8 = 410.666\ldots
51.333
…
×
8
=
410.666
…
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