Answer :
Sure! Let's solve [tex]\(6.25 \cdot 5.7\)[/tex] using fractions by following a detailed, step-by-step approach:
1. Convert Decimals to Fractions:
- Convert [tex]\(6.25\)[/tex] to a fraction.
[tex]\[
6.25 = \frac{625}{100}
\][/tex]
Here, 6.25 is the same as 625 divided by 100.
- Convert [tex]\(5.7\)[/tex] to a fraction.
[tex]\[
5.7 = \frac{57}{10}
\][/tex]
This is because 5.7 is the same as 57 divided by 10.
2. Multiply the Fractions:
- Multiply the two fractions:
[tex]\[
\frac{625}{100} \cdot \frac{57}{10} = \frac{625 \cdot 57}{100 \cdot 10}
\][/tex]
3. Calculate the Multiplication in the Numerators:
- Multiply the numerators, [tex]\(625 \times 57\)[/tex]:
[tex]\[
625 \times 57 = 35,625
\][/tex]
So, the fraction becomes:
[tex]\[
\frac{35,625}{1,000}
\][/tex]
4. Simplify the Fraction:
- Divide the numerator by the denominator to simplify:
[tex]\[
\frac{35,625}{1,000} = 35.625
\][/tex]
Therefore, the result of multiplying [tex]\(6.25\)[/tex] by [tex]\(5.7\)[/tex] is [tex]\(35.625\)[/tex].
1. Convert Decimals to Fractions:
- Convert [tex]\(6.25\)[/tex] to a fraction.
[tex]\[
6.25 = \frac{625}{100}
\][/tex]
Here, 6.25 is the same as 625 divided by 100.
- Convert [tex]\(5.7\)[/tex] to a fraction.
[tex]\[
5.7 = \frac{57}{10}
\][/tex]
This is because 5.7 is the same as 57 divided by 10.
2. Multiply the Fractions:
- Multiply the two fractions:
[tex]\[
\frac{625}{100} \cdot \frac{57}{10} = \frac{625 \cdot 57}{100 \cdot 10}
\][/tex]
3. Calculate the Multiplication in the Numerators:
- Multiply the numerators, [tex]\(625 \times 57\)[/tex]:
[tex]\[
625 \times 57 = 35,625
\][/tex]
So, the fraction becomes:
[tex]\[
\frac{35,625}{1,000}
\][/tex]
4. Simplify the Fraction:
- Divide the numerator by the denominator to simplify:
[tex]\[
\frac{35,625}{1,000} = 35.625
\][/tex]
Therefore, the result of multiplying [tex]\(6.25\)[/tex] by [tex]\(5.7\)[/tex] is [tex]\(35.625\)[/tex].
