Answer :
Sure! Let's solve the problem step by step:
1. Understand the Problem: Mana went to the market and bought some fruits. We need to find out the total weight of the fruits she purchased. She bought:
- [tex]\( \frac{1}{2} \)[/tex] kilos of noran,
- [tex]\( \frac{1}{4} \)[/tex] kilos of manzanas, and
- [tex]\( \frac{2}{15} \)[/tex] kilos of mangos.
2. Add the Weights of the Fruits: To find the total weight, we add the weights of each type of fruit together:
- First, convert each fruit's weight into a common understanding to easily add them together.
3. Calculate the Total:
[tex]\[
\text{Total weight} = \frac{1}{2} + \frac{1}{4} + \frac{2}{15}
\][/tex]
4. Finding a Common Denominator: To add these fractions, we first need to find a common denominator. The denominators here are 2, 4, and 15. The least common multiple (LCM) of these numbers is 60.
5. Convert Each Fraction:
- Convert [tex]\( \frac{1}{2} \)[/tex] to a denominator of 60:
[tex]\(\frac{1}{2} = \frac{30}{60}\)[/tex]
- Convert [tex]\( \frac{1}{4} \)[/tex] to a denominator of 60:
[tex]\(\frac{1}{4} = \frac{15}{60}\)[/tex]
- Convert [tex]\( \frac{2}{15} \)[/tex] to a denominator of 60:
[tex]\(\frac{2}{15} = \frac{8}{60}\)[/tex]
6. Add the Converted Fractions:
[tex]\[
\frac{30}{60} + \frac{15}{60} + \frac{8}{60} = \frac{53}{60}
\][/tex]
7. Converting to Decimal Form: Finally, to better understand this quantity, we can convert [tex]\(\frac{53}{60}\)[/tex] to decimal form.
[tex]\[
\frac{53}{60} \approx 0.8833
\][/tex]
This means Mana bought approximately 0.8833 kilos of fruits in total.
1. Understand the Problem: Mana went to the market and bought some fruits. We need to find out the total weight of the fruits she purchased. She bought:
- [tex]\( \frac{1}{2} \)[/tex] kilos of noran,
- [tex]\( \frac{1}{4} \)[/tex] kilos of manzanas, and
- [tex]\( \frac{2}{15} \)[/tex] kilos of mangos.
2. Add the Weights of the Fruits: To find the total weight, we add the weights of each type of fruit together:
- First, convert each fruit's weight into a common understanding to easily add them together.
3. Calculate the Total:
[tex]\[
\text{Total weight} = \frac{1}{2} + \frac{1}{4} + \frac{2}{15}
\][/tex]
4. Finding a Common Denominator: To add these fractions, we first need to find a common denominator. The denominators here are 2, 4, and 15. The least common multiple (LCM) of these numbers is 60.
5. Convert Each Fraction:
- Convert [tex]\( \frac{1}{2} \)[/tex] to a denominator of 60:
[tex]\(\frac{1}{2} = \frac{30}{60}\)[/tex]
- Convert [tex]\( \frac{1}{4} \)[/tex] to a denominator of 60:
[tex]\(\frac{1}{4} = \frac{15}{60}\)[/tex]
- Convert [tex]\( \frac{2}{15} \)[/tex] to a denominator of 60:
[tex]\(\frac{2}{15} = \frac{8}{60}\)[/tex]
6. Add the Converted Fractions:
[tex]\[
\frac{30}{60} + \frac{15}{60} + \frac{8}{60} = \frac{53}{60}
\][/tex]
7. Converting to Decimal Form: Finally, to better understand this quantity, we can convert [tex]\(\frac{53}{60}\)[/tex] to decimal form.
[tex]\[
\frac{53}{60} \approx 0.8833
\][/tex]
This means Mana bought approximately 0.8833 kilos of fruits in total.
